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GCF of 370/52, 590/275

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 370/52, 590/275 i.e 10/14300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 370/52, 590/275.

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 370/52,590/275?

Given fractions are 370/52,590/275

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 370/52,590/275, numerators are 370,590

Denominators are 52,275

The GCF of 370,590 is 10 .

LCM of 52,275 is 14300.

The greatest common factor of 370/52,590/275 = [GCF of 370,590]/[LCM of 52,275]= 10/14300

Therefore, the GCF of 370/52,590/275 is 10/14300.

Greatest Common Factor of 370,590

To find the highest common factor of 370,590, we have to find the factors of both numbers and list the highest common factor.

The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370

The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590

The HCF of 370,590 is 10.

Lets's calculate GCF of 370,590

Greatest Common Factor (GCF) of 370,590 By Common Division

2 370, 590
5 185, 295
37, 59

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 370,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,590 By Matching Biggest Common Factor Method

Now, list down the factors of 370

:

1,2,5,10,37,74,185,370

Now, list down the factors of 590

:

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 370,590 . The biggest common factor number is the GCF number.
So the greatest common factor 370,590 is 10.

Lets's calculate LCM of 52,275

Lowest Common Multiple of 52,275 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 14300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/14300

Therefore, the GCF of Fractions 370/52,590/275 is 10/14300

Least Common Multiple of 52,275 with GCF Formula

Least Common Multiple of 52,275 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 52,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,275) = 1

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

GCF(52,275) x common factors =1 x 1 = 1

LCM(52,275) = ( 52 × 275 ) / 1

LCM(52,275) = 14300 / 1

LCM(52,275) = 14300


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FAQs on GCF of Fractions of 370/52, 590/275

1. What is the HCF of 370,590?

The HCF of 370,590 is 10

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 370/52, 590/275?

Answer: GCF of Numerators as per given numbers 370/52, 590/275 is

GCF of Numerators i.e. for 370,590 is 10

LCM of denominators i.e. for 52,275 is 14300.

Thus, GCF of Fractions is 10/14300.Finally, GCF of Fractions for 370/52, 590/275 is 10/14300.