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GCF of 411/14, 251/1492

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 411/14, 251/1492 i.e 1/10444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 411/14, 251/1492.

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 411/14,251/1492?

Given fractions are 411/14,251/1492

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 411/14,251/1492, numerators are 411,251

Denominators are 14,1492

The GCF of 411,251 is 1 .

LCM of 14,1492 is 10444.

The greatest common factor of 411/14,251/1492 = [GCF of 411,251]/[LCM of 14,1492]= 1/10444

Therefore, the GCF of 411/14,251/1492 is 1/10444.

Greatest Common Factor of 411,251

To find the highest common factor of 411,251, we have to find the factors of both numbers and list the highest common factor.

The factors of 411 are 1, 3, 137, 411

The factors of 251 are 1, 251

The HCF of 411,251 is 1.

Lets's calculate GCF of 411,251

Greatest Common Factor (GCF) of 411,251 By Common Division

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

Greatest Common Factor of 411,251 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,251 By Matching Biggest Common Factor Method

Now, list down the factors of 411

:

1,3,137,411

Now, list down the factors of 251

:

1,251

Greatest Common Factor

We found the factors 411,251 . The biggest common factor number is the GCF number.
So the greatest common factor 411,251 is 1.

Lets's calculate LCM of 14,1492

Lowest Common Multiple of 14,1492 using Common Division

2 14, 1492
7, 746

∴ So the LCM of the given numbers is 2 x 7 x 746 = 10444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10444

Therefore, the GCF of Fractions 411/14,251/1492 is 1/10444

Least Common Multiple of 14,1492 with GCF Formula

Least Common Multiple of 14,1492 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 14,1492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,1492) = 2

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

GCF(14,1492) x common factors =2 x 1 = 2

LCM(14,1492) = ( 14 × 1492 ) / 2

LCM(14,1492) = 20888 / 2

LCM(14,1492) = 10444


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FAQs on GCF of Fractions of 411/14, 251/1492

1. What is the HCF of 411,251?

The HCF of 411,251 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 411/14, 251/1492?

Answer: GCF of Numerators as per given numbers 411/14, 251/1492 is

GCF of Numerators i.e. for 411,251 is 1

LCM of denominators i.e. for 14,1492 is 10444.

Thus, GCF of Fractions is 1/10444.Finally, GCF of Fractions for 411/14, 251/1492 is 1/10444.