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GCF of 62/608, 17/124

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 62/608, 17/124 i.e 1/18848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/608, 17/124.

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 62/608,17/124?

Given fractions are 62/608,17/124

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 62/608,17/124, numerators are 62,17

Denominators are 608,124

The GCF of 62,17 is 1 .

LCM of 608,124 is 18848.

The greatest common factor of 62/608,17/124 = [GCF of 62,17]/[LCM of 608,124]= 1/18848

Therefore, the GCF of 62/608,17/124 is 1/18848.

Greatest Common Factor of 62,17

To find the highest common factor of 62,17, we have to find the factors of both numbers and list the highest common factor.

The factors of 62 are 1, 2, 31, 62

The factors of 17 are 1, 17

The HCF of 62,17 is 1.

Lets's calculate GCF of 62,17

Greatest Common Factor (GCF) of 62,17 By Common Division

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

Greatest Common Factor of 62,17 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,17 By Matching Biggest Common Factor Method

Now, list down the factors of 62

:

1,2,31,62

Now, list down the factors of 17

:

1,17

Greatest Common Factor

We found the factors 62,17 . The biggest common factor number is the GCF number.
So the greatest common factor 62,17 is 1.

Lets's calculate LCM of 608,124

Lowest Common Multiple of 608,124 using Common Division

2 608, 124
2 304, 62
152, 31

∴ So the LCM of the given numbers is 2 x 2 x 152 x 31 = 18848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18848

Therefore, the GCF of Fractions 62/608,17/124 is 1/18848

Least Common Multiple of 608,124 with GCF Formula

Least Common Multiple of 608,124 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 608,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,124) = 4

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

GCF(608,124) x common factors =4 x 1 = 4

LCM(608,124) = ( 608 × 124 ) / 4

LCM(608,124) = 75392 / 4

LCM(608,124) = 18848


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FAQs on GCF of Fractions of 62/608, 17/124

1. What is the HCF of 62,17?

The HCF of 62,17 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 62/608, 17/124?

Answer: GCF of Numerators as per given numbers 62/608, 17/124 is

GCF of Numerators i.e. for 62,17 is 1

LCM of denominators i.e. for 608,124 is 18848.

Thus, GCF of Fractions is 1/18848.Finally, GCF of Fractions for 62/608, 17/124 is 1/18848.