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GCF of 969/756, 769/612

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 969/756, 769/612 i.e 1/12852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 969/756, 769/612.

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 969/756,769/612?

Given fractions are 969/756,769/612

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 969/756,769/612, numerators are 969,769

Denominators are 756,612

The GCF of 969,769 is 1 .

LCM of 756,612 is 12852.

The greatest common factor of 969/756,769/612 = [GCF of 969,769]/[LCM of 756,612]= 1/12852

Therefore, the GCF of 969/756,769/612 is 1/12852.

Greatest Common Factor of 969,769

To find the highest common factor of 969,769, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 769 are 1, 769

The HCF of 969,769 is 1.

Lets's calculate GCF of 969,769

Greatest Common Factor (GCF) of 969,769 By Common Division

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

Greatest Common Factor of 969,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,769 By Matching Biggest Common Factor Method

Now, list down the factors of 969

:

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

Now, list down the factors of 769

:

1,769

Greatest Common Factor

We found the factors 969,769 . The biggest common factor number is the GCF number.
So the greatest common factor 969,769 is 1.

Lets's calculate LCM of 756,612

Lowest Common Multiple of 756,612 using Common Division

2 756, 612
2 378, 306
3 189, 153
3 63, 51
21, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 21 x 17 = 12852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12852

Therefore, the GCF of Fractions 969/756,769/612 is 1/12852

Least Common Multiple of 756,612 with GCF Formula

Least Common Multiple of 756,612 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 756,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,612) = 36

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

GCF(756,612) x common factors =36 x 1 = 36

LCM(756,612) = ( 756 × 612 ) / 36

LCM(756,612) = 462672 / 36

LCM(756,612) = 12852


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FAQs on GCF of Fractions of 969/756, 769/612

1. What is the HCF of 969,769?

The HCF of 969,769 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 969/756, 769/612?

Answer: GCF of Numerators as per given numbers 969/756, 769/612 is

GCF of Numerators i.e. for 969,769 is 1

LCM of denominators i.e. for 756,612 is 12852.

Thus, GCF of Fractions is 1/12852.Finally, GCF of Fractions for 969/756, 769/612 is 1/12852.