How to Find GCF of 124/27, 310/4270?

GCF of 124/27, 310/4270

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 124/27, 310/4270 i.e 62/115290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 124/27, 310/4270.

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 124/27,310/4270?

Given fractions are 124/27,310/4270

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 124/27,310/4270, numerators are 124,310

Denominators are 27,4270

The GCF of 124,310 is 62 .

LCM of 27,4270 is 115290.

The greatest common factor of 124/27,310/4270 = [GCF of 124,310]/[LCM of 27,4270]= 62/115290

Therefore, the GCF of 124/27,310/4270 is 62/115290.

Greatest Common Factor of 124,310

To find the highest common factor of 124,310, we have to find the factors of both numbers and list the highest common factor.

The factors of 124 are 1, 2, 4, 31, 62, 124

The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310

The HCF of 124,310 is 62.

Lets's calculate GCF of 124,310

Greatest Common Factor (GCF) of 124,310 By Common Division

2	124, 310
31	62, 155
	2, 5

∴ So the GCF of the given numbers is 2 x 31 = 62

Greatest Common Factor of 124,310 By Matching Biggest Common Factor Method

Now, list down the factors of 124

1,2,4,31,62,124

Now, list down the factors of 310

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 124,310 . The biggest common factor number is the GCF number.
So the greatest common factor 124,310 is 62.

Lets's calculate LCM of 27,4270

Lowest Common Multiple of 27,4270 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 115290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 62/115290

Therefore, the GCF of Fractions 124/27,310/4270 is 62/115290

Least Common Multiple of 27,4270 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 27,4270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,4270) = 1

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

GCF(27,4270) x common factors =1 x 1 = 1

LCM(27,4270) = ( 27 × 4270 ) / 1

LCM(27,4270) = 115290 / 1

LCM(27,4270) = 115290

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FAQs on GCF of Fractions of 124/27, 310/4270

1. What is the HCF of 124,310?

The HCF of 124,310 is 62

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 124/27, 310/4270?

Answer: GCF of Numerators as per given numbers 124/27, 310/4270 is

GCF of Numerators i.e. for 124,310 is 62

LCM of denominators i.e. for 27,4270 is 115290.

Thus, GCF of Fractions is 62/115290.Finally, GCF of Fractions for 124/27, 310/4270 is 62/115290.