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GCF of 749/99, 881/256

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 749/99, 881/256 i.e 1/25344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 749/99, 881/256.

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 749/99,881/256?

Given fractions are 749/99,881/256

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 749/99,881/256, numerators are 749,881

Denominators are 99,256

The GCF of 749,881 is 1 .

LCM of 99,256 is 25344.

The greatest common factor of 749/99,881/256 = [GCF of 749,881]/[LCM of 99,256]= 1/25344

Therefore, the GCF of 749/99,881/256 is 1/25344.

Greatest Common Factor of 749,881

To find the highest common factor of 749,881, we have to find the factors of both numbers and list the highest common factor.

The factors of 749 are 1, 7, 107, 749

The factors of 881 are 1, 881

The HCF of 749,881 is 1.

Lets's calculate GCF of 749,881

Greatest Common Factor (GCF) of 749,881 By Common Division

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

Greatest Common Factor of 749,881 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,881 By Matching Biggest Common Factor Method

Now, list down the factors of 749

:

1,7,107,749

Now, list down the factors of 881

:

1,881

Greatest Common Factor

We found the factors 749,881 . The biggest common factor number is the GCF number.
So the greatest common factor 749,881 is 1.

Lets's calculate LCM of 99,256

Lowest Common Multiple of 99,256 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 25344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25344

Therefore, the GCF of Fractions 749/99,881/256 is 1/25344

Least Common Multiple of 99,256 with GCF Formula

Least Common Multiple of 99,256 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 99,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,256) = 1

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

GCF(99,256) x common factors =1 x 1 = 1

LCM(99,256) = ( 99 × 256 ) / 1

LCM(99,256) = 25344 / 1

LCM(99,256) = 25344


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FAQs on GCF of Fractions of 749/99, 881/256

1. What is the HCF of 749,881?

The HCF of 749,881 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 749/99, 881/256?

Answer: GCF of Numerators as per given numbers 749/99, 881/256 is

GCF of Numerators i.e. for 749,881 is 1

LCM of denominators i.e. for 99,256 is 25344.

Thus, GCF of Fractions is 1/25344.Finally, GCF of Fractions for 749/99, 881/256 is 1/25344.