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GCF of 878/694, 314/451

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 878/694, 314/451 i.e 2/312994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 878/694, 314/451.

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 878/694,314/451?

Given fractions are 878/694,314/451

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 878/694,314/451, numerators are 878,314

Denominators are 694,451

The GCF of 878,314 is 2 .

LCM of 694,451 is 312994.

The greatest common factor of 878/694,314/451 = [GCF of 878,314]/[LCM of 694,451]= 2/312994

Therefore, the GCF of 878/694,314/451 is 2/312994.

Greatest Common Factor of 878,314

To find the highest common factor of 878,314, we have to find the factors of both numbers and list the highest common factor.

The factors of 878 are 1, 2, 439, 878

The factors of 314 are 1, 2, 157, 314

The HCF of 878,314 is 2.

Lets's calculate GCF of 878,314

Greatest Common Factor (GCF) of 878,314 By Common Division

2 878, 314
439, 157

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 878,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,314 By Matching Biggest Common Factor Method

Now, list down the factors of 878

:

1,2,439,878

Now, list down the factors of 314

:

1,2,157,314

Greatest Common Factor

We found the factors 878,314 . The biggest common factor number is the GCF number.
So the greatest common factor 878,314 is 2.

Lets's calculate LCM of 694,451

Lowest Common Multiple of 694,451 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 312994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/312994

Therefore, the GCF of Fractions 878/694,314/451 is 2/312994

Least Common Multiple of 694,451 with GCF Formula

Least Common Multiple of 694,451 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 694,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,451) = 1

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

GCF(694,451) x common factors =1 x 1 = 1

LCM(694,451) = ( 694 × 451 ) / 1

LCM(694,451) = 312994 / 1

LCM(694,451) = 312994


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FAQs on GCF of Fractions of 878/694, 314/451

1. What is the HCF of 878,314?

The HCF of 878,314 is 2

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 878/694, 314/451?

Answer: GCF of Numerators as per given numbers 878/694, 314/451 is

GCF of Numerators i.e. for 878,314 is 2

LCM of denominators i.e. for 694,451 is 312994.

Thus, GCF of Fractions is 2/312994.Finally, GCF of Fractions for 878/694, 314/451 is 2/312994.