How to Find GCF of 9749/944, 1412/8141?

GCF of 9749/944, 1412/8141

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 9749/944, 1412/8141 i.e 1/7685104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9749/944, 1412/8141.

Enter two or more fractions separated by "commas"

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

What is the GCF of 9749/944,1412/8141?

Given fractions are 9749/944,1412/8141

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 9749/944,1412/8141, numerators are 9749,1412

Denominators are 944,8141

The GCF of 9749,1412 is 1 .

LCM of 944,8141 is 7685104.

The greatest common factor of 9749/944,1412/8141 = [GCF of 9749,1412]/[LCM of 944,8141]= 1/7685104

Therefore, the GCF of 9749/944,1412/8141 is 1/7685104.

Greatest Common Factor of 9749,1412

To find the highest common factor of 9749,1412, we have to find the factors of both numbers and list the highest common factor.

The factors of 9749 are 1, 9749

The factors of 1412 are 1, 2, 4, 353, 706, 1412

The HCF of 9749,1412 is 1.

Lets's calculate GCF of 9749,1412

Greatest Common Factor (GCF) of 9749,1412 By Common Division

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

Greatest Common Factor of 9749,1412 By Matching Biggest Common Factor Method

Now, list down the factors of 9749

1,9749

Now, list down the factors of 1412

1,2,4,353,706,1412

Greatest Common Factor

We found the factors 9749,1412 . The biggest common factor number is the GCF number.
So the greatest common factor 9749,1412 is 1.

Lets's calculate LCM of 944,8141

Lowest Common Multiple of 944,8141 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7685104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7685104

Therefore, the GCF of Fractions 9749/944,1412/8141 is 1/7685104

Least Common Multiple of 944,8141 with GCF Formula

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

We need to calculate greatest common factor of 944,8141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,8141) = 1

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

GCF(944,8141) x common factors =1 x 1 = 1

LCM(944,8141) = ( 944 × 8141 ) / 1

LCM(944,8141) = 7685104 / 1

LCM(944,8141) = 7685104

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FAQs on GCF of Fractions of 9749/944, 1412/8141

1. What is the HCF of 9749,1412?

The HCF of 9749,1412 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 9749/944, 1412/8141?

Answer: GCF of Numerators as per given numbers 9749/944, 1412/8141 is

GCF of Numerators i.e. for 9749,1412 is 1

LCM of denominators i.e. for 944,8141 is 7685104.

Thus, GCF of Fractions is 1/7685104.Finally, GCF of Fractions for 9749/944, 1412/8141 is 1/7685104.