How to Find GCF of 62/124, 1038/3324?

GCF of 62/124, 1038/3324

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 62/124, 1038/3324 i.e 2/103044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/124, 1038/3324.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 62/124,1038/3324?

Given fractions are 62/124,1038/3324

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 62/124,1038/3324, numerators are 62,1038

Denominators are 124,3324

The GCF of 62,1038 is 2 .

LCM of 124,3324 is 103044.

The greatest common factor of 62/124,1038/3324 = [GCF of 62,1038]/[LCM of 124,3324]= 2/103044

Therefore, the GCF of 62/124,1038/3324 is 2/103044.

Greatest Common Factor of 62,1038

To find the highest common factor of 62,1038, 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 1038 are 1, 2, 3, 6, 173, 346, 519, 1038

The HCF of 62,1038 is 2.

Lets's calculate GCF of 62,1038

Greatest Common Factor (GCF) of 62,1038 By Common Division

2	62, 1038
	31, 519

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 62,1038 By Matching Biggest Common Factor Method

Now, list down the factors of 62

1,2,31,62

Now, list down the factors of 1038

1,2,3,6,173,346,519,1038

Greatest Common Factor

We found the factors 62,1038 . The biggest common factor number is the GCF number.
So the greatest common factor 62,1038 is 2.

Lets's calculate LCM of 124,3324

Lowest Common Multiple of 124,3324 using Common Division

2	124, 3324
2	62, 1662
	31, 831

∴ So the LCM of the given numbers is 2 x 2 x 31 x 831 = 103044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/103044

Therefore, the GCF of Fractions 62/124,1038/3324 is 2/103044

Least Common Multiple of 124,3324 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 124,3324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,3324) = 4

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

GCF(124,3324) x common factors =4 x 1 = 4

LCM(124,3324) = ( 124 × 3324 ) / 4

LCM(124,3324) = 412176 / 4

LCM(124,3324) = 103044

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FAQs on GCF of Fractions of 62/124, 1038/3324

1. What is the HCF of 62,1038?

The HCF of 62,1038 is 2

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 62/124, 1038/3324?

Answer: GCF of Numerators as per given numbers 62/124, 1038/3324 is

GCF of Numerators i.e. for 62,1038 is 2

LCM of denominators i.e. for 124,3324 is 103044.

Thus, GCF of Fractions is 2/103044.Finally, GCF of Fractions for 62/124, 1038/3324 is 2/103044.