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GCF of 262/381, 1109/997

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 262/381, 1109/997 i.e 1/379857 easily. The following is the detailed procedure to determine the greatest common factor of fractions 262/381, 1109/997.

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 262/381,1109/997?

Given fractions are 262/381,1109/997

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 262/381,1109/997, numerators are 262,1109

Denominators are 381,997

The GCF of 262,1109 is 1 .

LCM of 381,997 is 379857.

The greatest common factor of 262/381,1109/997 = [GCF of 262,1109]/[LCM of 381,997]= 1/379857

Therefore, the GCF of 262/381,1109/997 is 1/379857.

Greatest Common Factor of 262,1109

To find the highest common factor of 262,1109, we have to find the factors of both numbers and list the highest common factor.

The factors of 262 are 1, 2, 131, 262

The factors of 1109 are 1, 1109

The HCF of 262,1109 is 1.

Lets's calculate GCF of 262,1109

Greatest Common Factor (GCF) of 262,1109 By Common Division

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

Greatest Common Factor of 262,1109 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,1109 By Matching Biggest Common Factor Method

Now, list down the factors of 262

:

1,2,131,262

Now, list down the factors of 1109

:

1,1109

Greatest Common Factor

We found the factors 262,1109 . The biggest common factor number is the GCF number.
So the greatest common factor 262,1109 is 1.

Lets's calculate LCM of 381,997

Lowest Common Multiple of 381,997 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 379857

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/379857

Therefore, the GCF of Fractions 262/381,1109/997 is 1/379857

Least Common Multiple of 381,997 with GCF Formula

Least Common Multiple of 381,997 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 381,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,997) = 1

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

GCF(381,997) x common factors =1 x 1 = 1

LCM(381,997) = ( 381 × 997 ) / 1

LCM(381,997) = 379857 / 1

LCM(381,997) = 379857


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FAQs on GCF of Fractions of 262/381, 1109/997

1. What is the HCF of 262,1109?

The HCF of 262,1109 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 262/381, 1109/997?

Answer: GCF of Numerators as per given numbers 262/381, 1109/997 is

GCF of Numerators i.e. for 262,1109 is 1

LCM of denominators i.e. for 381,997 is 379857.

Thus, GCF of Fractions is 1/379857.Finally, GCF of Fractions for 262/381, 1109/997 is 1/379857.