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GCF of 755/88, 332/638

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 755/88, 332/638 i.e 1/2552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 755/88, 332/638.

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 755/88,332/638?

Given fractions are 755/88,332/638

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 755/88,332/638, numerators are 755,332

Denominators are 88,638

The GCF of 755,332 is 1 .

LCM of 88,638 is 2552.

The greatest common factor of 755/88,332/638 = [GCF of 755,332]/[LCM of 88,638]= 1/2552

Therefore, the GCF of 755/88,332/638 is 1/2552.

Greatest Common Factor of 755,332

To find the highest common factor of 755,332, we have to find the factors of both numbers and list the highest common factor.

The factors of 755 are 1, 5, 151, 755

The factors of 332 are 1, 2, 4, 83, 166, 332

The HCF of 755,332 is 1.

Lets's calculate GCF of 755,332

Greatest Common Factor (GCF) of 755,332 By Common Division

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

Greatest Common Factor of 755,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,332 By Matching Biggest Common Factor Method

Now, list down the factors of 755

:

1,5,151,755

Now, list down the factors of 332

:

1,2,4,83,166,332

Greatest Common Factor

We found the factors 755,332 . The biggest common factor number is the GCF number.
So the greatest common factor 755,332 is 1.

Lets's calculate LCM of 88,638

Lowest Common Multiple of 88,638 using Common Division

2 88, 638
11 44, 319
4, 29

∴ So the LCM of the given numbers is 2 x 11 x 4 x 29 = 2552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2552

Therefore, the GCF of Fractions 755/88,332/638 is 1/2552

Least Common Multiple of 88,638 with GCF Formula

Least Common Multiple of 88,638 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 88,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,638) = 22

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

GCF(88,638) x common factors =22 x 1 = 22

LCM(88,638) = ( 88 × 638 ) / 22

LCM(88,638) = 56144 / 22

LCM(88,638) = 2552


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FAQs on GCF of Fractions of 755/88, 332/638

1. What is the HCF of 755,332?

The HCF of 755,332 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 755/88, 332/638?

Answer: GCF of Numerators as per given numbers 755/88, 332/638 is

GCF of Numerators i.e. for 755,332 is 1

LCM of denominators i.e. for 88,638 is 2552.

Thus, GCF of Fractions is 1/2552.Finally, GCF of Fractions for 755/88, 332/638 is 1/2552.