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GCF of 251/992, 697/152

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 251/992, 697/152 i.e 1/18848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 251/992, 697/152.

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 251/992,697/152?

Given fractions are 251/992,697/152

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 251/992,697/152, numerators are 251,697

Denominators are 992,152

The GCF of 251,697 is 1 .

LCM of 992,152 is 18848.

The greatest common factor of 251/992,697/152 = [GCF of 251,697]/[LCM of 992,152]= 1/18848

Therefore, the GCF of 251/992,697/152 is 1/18848.

Greatest Common Factor of 251,697

To find the highest common factor of 251,697, we have to find the factors of both numbers and list the highest common factor.

The factors of 251 are 1, 251

The factors of 697 are 1, 17, 41, 697

The HCF of 251,697 is 1.

Lets's calculate GCF of 251,697

Greatest Common Factor (GCF) of 251,697 By Common Division

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

Greatest Common Factor of 251,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 251,697 By Matching Biggest Common Factor Method

Now, list down the factors of 251

:

1,251

Now, list down the factors of 697

:

1,17,41,697

Greatest Common Factor

We found the factors 251,697 . The biggest common factor number is the GCF number.
So the greatest common factor 251,697 is 1.

Lets's calculate LCM of 992,152

Lowest Common Multiple of 992,152 using Common Division

2 992, 152
2 496, 76
2 248, 38
124, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 124 x 19 = 18848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18848

Therefore, the GCF of Fractions 251/992,697/152 is 1/18848

Least Common Multiple of 992,152 with GCF Formula

Least Common Multiple of 992,152 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 992,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,152) = 8

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

GCF(992,152) x common factors =8 x 1 = 8

LCM(992,152) = ( 992 × 152 ) / 8

LCM(992,152) = 150784 / 8

LCM(992,152) = 18848


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FAQs on GCF of Fractions of 251/992, 697/152

1. What is the HCF of 251,697?

The HCF of 251,697 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 251/992, 697/152?

Answer: GCF of Numerators as per given numbers 251/992, 697/152 is

GCF of Numerators i.e. for 251,697 is 1

LCM of denominators i.e. for 992,152 is 18848.

Thus, GCF of Fractions is 1/18848.Finally, GCF of Fractions for 251/992, 697/152 is 1/18848.