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GCF of 694/251, 801/422

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 694/251, 801/422 i.e 1/105922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 694/251, 801/422.

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 694/251,801/422?

Given fractions are 694/251,801/422

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 694/251,801/422, numerators are 694,801

Denominators are 251,422

The GCF of 694,801 is 1 .

LCM of 251,422 is 105922.

The greatest common factor of 694/251,801/422 = [GCF of 694,801]/[LCM of 251,422]= 1/105922

Therefore, the GCF of 694/251,801/422 is 1/105922.

Greatest Common Factor of 694,801

To find the highest common factor of 694,801, we have to find the factors of both numbers and list the highest common factor.

The factors of 694 are 1, 2, 347, 694

The factors of 801 are 1, 3, 9, 89, 267, 801

The HCF of 694,801 is 1.

Lets's calculate GCF of 694,801

Greatest Common Factor (GCF) of 694,801 By Common Division

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

Greatest Common Factor of 694,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,801 By Matching Biggest Common Factor Method

Now, list down the factors of 694

:

1,2,347,694

Now, list down the factors of 801

:

1,3,9,89,267,801

Greatest Common Factor

We found the factors 694,801 . The biggest common factor number is the GCF number.
So the greatest common factor 694,801 is 1.

Lets's calculate LCM of 251,422

Lowest Common Multiple of 251,422 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 105922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105922

Therefore, the GCF of Fractions 694/251,801/422 is 1/105922

Least Common Multiple of 251,422 with GCF Formula

Least Common Multiple of 251,422 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 251,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,422) = 1

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

GCF(251,422) x common factors =1 x 1 = 1

LCM(251,422) = ( 251 × 422 ) / 1

LCM(251,422) = 105922 / 1

LCM(251,422) = 105922


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FAQs on GCF of Fractions of 694/251, 801/422

1. What is the HCF of 694,801?

The HCF of 694,801 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 694/251, 801/422?

Answer: GCF of Numerators as per given numbers 694/251, 801/422 is

GCF of Numerators i.e. for 694,801 is 1

LCM of denominators i.e. for 251,422 is 105922.

Thus, GCF of Fractions is 1/105922.Finally, GCF of Fractions for 694/251, 801/422 is 1/105922.