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GCF of 777/651, 829/301

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 777/651, 829/301 i.e 1/27993 easily. The following is the detailed procedure to determine the greatest common factor of fractions 777/651, 829/301.

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 777/651,829/301?

Given fractions are 777/651,829/301

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 777/651,829/301, numerators are 777,829

Denominators are 651,301

The GCF of 777,829 is 1 .

LCM of 651,301 is 27993.

The greatest common factor of 777/651,829/301 = [GCF of 777,829]/[LCM of 651,301]= 1/27993

Therefore, the GCF of 777/651,829/301 is 1/27993.

Greatest Common Factor of 777,829

To find the highest common factor of 777,829, we have to find the factors of both numbers and list the highest common factor.

The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777

The factors of 829 are 1, 829

The HCF of 777,829 is 1.

Lets's calculate GCF of 777,829

Greatest Common Factor (GCF) of 777,829 By Common Division

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

Greatest Common Factor of 777,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,829 By Matching Biggest Common Factor Method

Now, list down the factors of 777

:

1,3,7,21,37,111,259,777

Now, list down the factors of 829

:

1,829

Greatest Common Factor

We found the factors 777,829 . The biggest common factor number is the GCF number.
So the greatest common factor 777,829 is 1.

Lets's calculate LCM of 651,301

Lowest Common Multiple of 651,301 using Common Division

7 651, 301
93, 43

∴ So the LCM of the given numbers is 7 x 93 x 43 = 27993

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27993

Therefore, the GCF of Fractions 777/651,829/301 is 1/27993

Least Common Multiple of 651,301 with GCF Formula

Least Common Multiple of 651,301 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 651,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(651,301) = 7

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

GCF(651,301) x common factors =7 x 1 = 7

LCM(651,301) = ( 651 × 301 ) / 7

LCM(651,301) = 195951 / 7

LCM(651,301) = 27993


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FAQs on GCF of Fractions of 777/651, 829/301

1. What is the HCF of 777,829?

The HCF of 777,829 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 777/651, 829/301?

Answer: GCF of Numerators as per given numbers 777/651, 829/301 is

GCF of Numerators i.e. for 777,829 is 1

LCM of denominators i.e. for 651,301 is 27993.

Thus, GCF of Fractions is 1/27993.Finally, GCF of Fractions for 777/651, 829/301 is 1/27993.