How to Find GCF of 7502/15, 1860/952?

GCF of 7502/15, 1860/952

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 7502/15, 1860/952 i.e 62/14280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7502/15, 1860/952.

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 7502/15,1860/952?

Given fractions are 7502/15,1860/952

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 7502/15,1860/952, numerators are 7502,1860

Denominators are 15,952

The GCF of 7502,1860 is 62 .

LCM of 15,952 is 14280.

The greatest common factor of 7502/15,1860/952 = [GCF of 7502,1860]/[LCM of 15,952]= 62/14280

Therefore, the GCF of 7502/15,1860/952 is 62/14280.

Greatest Common Factor of 7502,1860

To find the highest common factor of 7502,1860, we have to find the factors of both numbers and list the highest common factor.

The factors of 7502 are 1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502

The factors of 1860 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930, 1860

The HCF of 7502,1860 is 62.

Lets's calculate GCF of 7502,1860

Greatest Common Factor (GCF) of 7502,1860 By Common Division

2	7502, 1860
31	3751, 930
	121, 30

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

Greatest Common Factor of 7502,1860 By Matching Biggest Common Factor Method

Now, list down the factors of 7502

1,2,11,22,31,62,121,242,341,682,3751,7502

Now, list down the factors of 1860

1,2,3,4,5,6,10,12,15,20,30,31,60,62,93,124,155,186,310,372,465,620,930,1860

Greatest Common Factor

We found the factors 7502,1860 . The biggest common factor number is the GCF number.
So the greatest common factor 7502,1860 is 62.

Lets's calculate LCM of 15,952

Lowest Common Multiple of 15,952 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 14280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 62/14280

Therefore, the GCF of Fractions 7502/15,1860/952 is 62/14280

Least Common Multiple of 15,952 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 15,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,952) = 1

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

GCF(15,952) x common factors =1 x 1 = 1

LCM(15,952) = ( 15 × 952 ) / 1

LCM(15,952) = 14280 / 1

LCM(15,952) = 14280

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FAQs on GCF of Fractions of 7502/15, 1860/952

1. What is the HCF of 7502,1860?

The HCF of 7502,1860 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 7502/15, 1860/952?

Answer: GCF of Numerators as per given numbers 7502/15, 1860/952 is

GCF of Numerators i.e. for 7502,1860 is 62

LCM of denominators i.e. for 15,952 is 14280.

Thus, GCF of Fractions is 62/14280.Finally, GCF of Fractions for 7502/15, 1860/952 is 62/14280.