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GCF of 411/712, 658/508

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 411/712, 658/508 i.e 1/90424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 411/712, 658/508.

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 411/712,658/508?

Given fractions are 411/712,658/508

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 411/712,658/508, numerators are 411,658

Denominators are 712,508

The GCF of 411,658 is 1 .

LCM of 712,508 is 90424.

The greatest common factor of 411/712,658/508 = [GCF of 411,658]/[LCM of 712,508]= 1/90424

Therefore, the GCF of 411/712,658/508 is 1/90424.

Greatest Common Factor of 411,658

To find the highest common factor of 411,658, 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 658 are 1, 2, 7, 14, 47, 94, 329, 658

The HCF of 411,658 is 1.

Lets's calculate GCF of 411,658

Greatest Common Factor (GCF) of 411,658 By Common Division

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

Greatest Common Factor of 411,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,658 By Matching Biggest Common Factor Method

Now, list down the factors of 411

:

1,3,137,411

Now, list down the factors of 658

:

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 411,658 . The biggest common factor number is the GCF number.
So the greatest common factor 411,658 is 1.

Lets's calculate LCM of 712,508

Lowest Common Multiple of 712,508 using Common Division

2 712, 508
2 356, 254
178, 127

∴ So the LCM of the given numbers is 2 x 2 x 178 x 127 = 90424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90424

Therefore, the GCF of Fractions 411/712,658/508 is 1/90424

Least Common Multiple of 712,508 with GCF Formula

Least Common Multiple of 712,508 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 712,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,508) = 4

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

GCF(712,508) x common factors =4 x 1 = 4

LCM(712,508) = ( 712 × 508 ) / 4

LCM(712,508) = 361696 / 4

LCM(712,508) = 90424


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FAQs on GCF of Fractions of 411/712, 658/508

1. What is the HCF of 411,658?

The HCF of 411,658 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 411/712, 658/508?

Answer: GCF of Numerators as per given numbers 411/712, 658/508 is

GCF of Numerators i.e. for 411,658 is 1

LCM of denominators i.e. for 712,508 is 90424.

Thus, GCF of Fractions is 1/90424.Finally, GCF of Fractions for 411/712, 658/508 is 1/90424.