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GCF of 7918/794, 7023/860

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 7918/794, 7023/860 i.e 1/341420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7918/794, 7023/860.

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 7918/794,7023/860?

Given fractions are 7918/794,7023/860

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 7918/794,7023/860, numerators are 7918,7023

Denominators are 794,860

The GCF of 7918,7023 is 1 .

LCM of 794,860 is 341420.

The greatest common factor of 7918/794,7023/860 = [GCF of 7918,7023]/[LCM of 794,860]= 1/341420

Therefore, the GCF of 7918/794,7023/860 is 1/341420.

Greatest Common Factor of 7918,7023

To find the highest common factor of 7918,7023, we have to find the factors of both numbers and list the highest common factor.

The factors of 7918 are 1, 2, 37, 74, 107, 214, 3959, 7918

The factors of 7023 are 1, 3, 2341, 7023

The HCF of 7918,7023 is 1.

Lets's calculate GCF of 7918,7023

Greatest Common Factor (GCF) of 7918,7023 By Common Division

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

Greatest Common Factor of 7918,7023 By Matching Biggest Common Factor Method

Greatest Common Factor of 7918,7023 By Matching Biggest Common Factor Method

Now, list down the factors of 7918

:

1,2,37,74,107,214,3959,7918

Now, list down the factors of 7023

:

1,3,2341,7023

Greatest Common Factor

We found the factors 7918,7023 . The biggest common factor number is the GCF number.
So the greatest common factor 7918,7023 is 1.


Lets's calculate LCM of 794,860

Lowest Common Multiple of 794,860 using Common Division

2 794, 860
397, 430

∴ So the LCM of the given numbers is 2 x 397 x 430 = 341420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/341420

Therefore, the GCF of Fractions 7918/794,7023/860 is 1/341420

Least Common Multiple of 794,860 with GCF Formula

Least Common Multiple of 794,860 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 794,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,860) = 2

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

GCF(794,860) x common factors =2 x 1 = 2

LCM(794,860) = ( 794 × 860 ) / 2

LCM(794,860) = 682840 / 2

LCM(794,860) = 341420


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7918/794, 7023/860

1. What is the HCF of 7918,7023?

The HCF of 7918,7023 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 7918/794, 7023/860?

Answer: GCF of Numerators as per given numbers 7918/794, 7023/860 is

GCF of Numerators i.e. for 7918,7023 is 1

LCM of denominators i.e. for 794,860 is 341420.

Thus, GCF of Fractions is 1/341420.Finally, GCF of Fractions for 7918/794, 7023/860 is 1/341420.