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GCF of 1203/256, 8839/1921

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 1203/256, 8839/1921 i.e 1/491776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1203/256, 8839/1921.

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 1203/256,8839/1921?

Given fractions are 1203/256,8839/1921

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 1203/256,8839/1921, numerators are 1203,8839

Denominators are 256,1921

The GCF of 1203,8839 is 1 .

LCM of 256,1921 is 491776.

The greatest common factor of 1203/256,8839/1921 = [GCF of 1203,8839]/[LCM of 256,1921]= 1/491776

Therefore, the GCF of 1203/256,8839/1921 is 1/491776.

Greatest Common Factor of 1203,8839

To find the highest common factor of 1203,8839, we have to find the factors of both numbers and list the highest common factor.

The factors of 1203 are 1, 3, 401, 1203

The factors of 8839 are 1, 8839

The HCF of 1203,8839 is 1.

Lets's calculate GCF of 1203,8839

Greatest Common Factor (GCF) of 1203,8839 By Common Division

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

Greatest Common Factor of 1203,8839 By Matching Biggest Common Factor Method

Greatest Common Factor of 1203,8839 By Matching Biggest Common Factor Method

Now, list down the factors of 1203

:

1,3,401,1203

Now, list down the factors of 8839

:

1,8839

Greatest Common Factor

We found the factors 1203,8839 . The biggest common factor number is the GCF number.
So the greatest common factor 1203,8839 is 1.

Lets's calculate LCM of 256,1921

Lowest Common Multiple of 256,1921 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 491776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/491776

Therefore, the GCF of Fractions 1203/256,8839/1921 is 1/491776

Least Common Multiple of 256,1921 with GCF Formula

Least Common Multiple of 256,1921 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 256,1921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,1921) = 1

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

GCF(256,1921) x common factors =1 x 1 = 1

LCM(256,1921) = ( 256 × 1921 ) / 1

LCM(256,1921) = 491776 / 1

LCM(256,1921) = 491776


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FAQs on GCF of Fractions of 1203/256, 8839/1921

1. What is the HCF of 1203,8839?

The HCF of 1203,8839 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 1203/256, 8839/1921?

Answer: GCF of Numerators as per given numbers 1203/256, 8839/1921 is

GCF of Numerators i.e. for 1203,8839 is 1

LCM of denominators i.e. for 256,1921 is 491776.

Thus, GCF of Fractions is 1/491776.Finally, GCF of Fractions for 1203/256, 8839/1921 is 1/491776.