Greatest Common Factor of 2758/634, 9765/1367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2758/634, 9765/1367

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 2758/634,9765/1367

Given fractions are 2758/634,9765/1367

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 2758,9765

Greatest Common Factor of Numerators i.e. GCF of 2758,9765 is 7 .

LCM of Denominators means LCM of 634,1367 as per the given fractions.

LCM of 634,1367 is 866678 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2758,9765

GCF of Fractions 2758/634,9765/1367 is 7/866678

7 2758, 9765
394, 1395

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 2758,9765 By Matching Biggest Common Factor Method

Greatest Common Factor of 2758,9765 By Matching Biggest Common Factor Method

Factors of 2758

List of positive integer factors of 2758 that divides 2758 without a remainder.

1,2,7,14,197,394,1379,2758

Factors of 9765

List of positive integer factors of 9765 that divides 9765 without a remainder.

1,3,5,7,9,15,21,31,35,45,63,93,105,155,217,279,315,465,651,1085,1395,1953,3255,9765

Greatest Common Factor

We found the factors 2758,9765 . The biggest common factor number is the GCF number.
So the greatest common factor 2758,9765 is 7.

Lets's calculate LCM of 634,1367

Given numbers has no common factors except 1. So, there LCM is their product i.e 866678

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/866678

Therefore, the GCF of Fractions 2758/634,9765/1367 is 7/866678

Least Common Multiple of 634,1367 with GCF Formula

Least Common Multiple of 634,1367 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 634,1367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,1367) = 1

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

GCF(634,1367) x common factors =1 x 1 = 1

LCM(634,1367) = ( 634 × 1367 ) / 1

LCM(634,1367) = 866678 / 1

LCM(634,1367) = 866678


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2758/634, 9765/1367

1. 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.

2. What is the GCF of Fractions for 2758/634, 9765/1367?

Answer: GCF of Numerators as per given numbers 2758/634, 9765/1367 is

GCF of Numerators i.e. for 2758,9765 is 7

LCM of denominators i.e. for 634,1367 is 866678.

Thus, GCF of Fractions is 7/866678.Finally, GCF of Fractions for 2758/634, 9765/1367 is 7/866678.