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GCF of 775/272, 308/800

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 775/272, 308/800 i.e 1/13600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 775/272, 308/800.

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 775/272,308/800?

Given fractions are 775/272,308/800

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 775/272,308/800, numerators are 775,308

Denominators are 272,800

The GCF of 775,308 is 1 .

LCM of 272,800 is 13600.

The greatest common factor of 775/272,308/800 = [GCF of 775,308]/[LCM of 272,800]= 1/13600

Therefore, the GCF of 775/272,308/800 is 1/13600.

Greatest Common Factor of 775,308

To find the highest common factor of 775,308, we have to find the factors of both numbers and list the highest common factor.

The factors of 775 are 1, 5, 25, 31, 155, 775

The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

The HCF of 775,308 is 1.

Lets's calculate GCF of 775,308

Greatest Common Factor (GCF) of 775,308 By Common Division

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

Greatest Common Factor of 775,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,308 By Matching Biggest Common Factor Method

Now, list down the factors of 775

:

1,5,25,31,155,775

Now, list down the factors of 308

:

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 775,308 . The biggest common factor number is the GCF number.
So the greatest common factor 775,308 is 1.

Lets's calculate LCM of 272,800

Lowest Common Multiple of 272,800 using Common Division

2 272, 800
2 136, 400
2 68, 200
2 34, 100
17, 50

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 17 x 50 = 13600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13600

Therefore, the GCF of Fractions 775/272,308/800 is 1/13600

Least Common Multiple of 272,800 with GCF Formula

Least Common Multiple of 272,800 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 272,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,800) = 16

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

GCF(272,800) x common factors =16 x 1 = 16

LCM(272,800) = ( 272 × 800 ) / 16

LCM(272,800) = 217600 / 16

LCM(272,800) = 13600


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FAQs on GCF of Fractions of 775/272, 308/800

1. What is the HCF of 775,308?

The HCF of 775,308 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 775/272, 308/800?

Answer: GCF of Numerators as per given numbers 775/272, 308/800 is

GCF of Numerators i.e. for 775,308 is 1

LCM of denominators i.e. for 272,800 is 13600.

Thus, GCF of Fractions is 1/13600.Finally, GCF of Fractions for 775/272, 308/800 is 1/13600.