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 617/22, 969/780

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 617/22, 969/780 i.e 1/8580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 617/22, 969/780.

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 617/22,969/780?

Given fractions are 617/22,969/780

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 617/22,969/780, numerators are 617,969

Denominators are 22,780

The GCF of 617,969 is 1 .

LCM of 22,780 is 8580.

The greatest common factor of 617/22,969/780 = [GCF of 617,969]/[LCM of 22,780]= 1/8580

Therefore, the GCF of 617/22,969/780 is 1/8580.

Greatest Common Factor of 617,969

To find the highest common factor of 617,969, we have to find the factors of both numbers and list the highest common factor.

The factors of 617 are 1, 617

The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969

The HCF of 617,969 is 1.

Lets's calculate GCF of 617,969

Greatest Common Factor (GCF) of 617,969 By Common Division

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

Greatest Common Factor of 617,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,969 By Matching Biggest Common Factor Method

Now, list down the factors of 617

:

1,617

Now, list down the factors of 969

:

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 617,969 . The biggest common factor number is the GCF number.
So the greatest common factor 617,969 is 1.

Lets's calculate LCM of 22,780

Lowest Common Multiple of 22,780 using Common Division

2 22, 780
11, 390

∴ So the LCM of the given numbers is 2 x 11 x 390 = 8580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8580

Therefore, the GCF of Fractions 617/22,969/780 is 1/8580

Least Common Multiple of 22,780 with GCF Formula

Least Common Multiple of 22,780 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 22,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,780) = 2

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

GCF(22,780) x common factors =2 x 1 = 2

LCM(22,780) = ( 22 × 780 ) / 2

LCM(22,780) = 17160 / 2

LCM(22,780) = 8580


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 617/22, 969/780

1. What is the HCF of 617,969?

The HCF of 617,969 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 617/22, 969/780?

Answer: GCF of Numerators as per given numbers 617/22, 969/780 is

GCF of Numerators i.e. for 617,969 is 1

LCM of denominators i.e. for 22,780 is 8580.

Thus, GCF of Fractions is 1/8580.Finally, GCF of Fractions for 617/22, 969/780 is 1/8580.