LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 9761/790, 7757/1684

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9761/790, 7757/1684 i.e 1/665180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9761/790, 7757/1684.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9761/790,7757/1684?

Given fractions are 9761/790,7757/1684

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9761/790,7757/1684, numerators are 9761,7757

Denominators are 790,1684

The GCF of 9761,7757 is 1 .

LCM of 790,1684 is 665180.

The greatest common factor of 9761/790,7757/1684 = [GCF of 9761,7757]/[LCM of 790,1684]= 1/665180

Therefore, the GCF of 9761/790,7757/1684 is 1/665180.

Greatest Common Factor of 9761,7757

To find the highest common factor of 9761,7757, we have to find the factors of both numbers and list the highest common factor.

The factors of 9761 are 1, 43, 227, 9761

The factors of 7757 are 1, 7757

The HCF of 9761,7757 is 1.

Lets's calculate GCF of 9761,7757

Greatest Common Factor (GCF) of 9761,7757 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9761,7757 By Matching Biggest Common Factor Method

Greatest Common Factor of 9761,7757 By Matching Biggest Common Factor Method

Now, list down the factors of 9761

:

1,43,227,9761

Now, list down the factors of 7757

:

1,7757

Greatest Common Factor

We found the factors 9761,7757 . The biggest common factor number is the GCF number.
So the greatest common factor 9761,7757 is 1.

Lets's calculate LCM of 790,1684

Lowest Common Multiple of 790,1684 using Common Division

2 790, 1684
395, 842

∴ So the LCM of the given numbers is 2 x 395 x 842 = 665180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/665180

Therefore, the GCF of Fractions 9761/790,7757/1684 is 1/665180

Least Common Multiple of 790,1684 with GCF Formula

Least Common Multiple of 790,1684 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 790,1684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,1684) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(790,1684) x common factors =2 x 1 = 2

LCM(790,1684) = ( 790 × 1684 ) / 2

LCM(790,1684) = 1330360 / 2

LCM(790,1684) = 665180


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9761/790, 7757/1684

1. What is the HCF of 9761,7757?

The HCF of 9761,7757 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 9761/790, 7757/1684?

Answer: GCF of Numerators as per given numbers 9761/790, 7757/1684 is

GCF of Numerators i.e. for 9761,7757 is 1

LCM of denominators i.e. for 790,1684 is 665180.

Thus, GCF of Fractions is 1/665180.Finally, GCF of Fractions for 9761/790, 7757/1684 is 1/665180.