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GCF of 370/52, 279/700

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, 279/700 i.e 1/9100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 370/52, 279/700.

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 370/52,279/700?

Given fractions are 370/52,279/700

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 370/52,279/700, numerators are 370,279

Denominators are 52,700

The GCF of 370,279 is 1 .

LCM of 52,700 is 9100.

The greatest common factor of 370/52,279/700 = [GCF of 370,279]/[LCM of 52,700]= 1/9100

Therefore, the GCF of 370/52,279/700 is 1/9100.

Greatest Common Factor of 370,279

To find the highest common factor of 370,279, 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 279 are 1, 3, 9, 31, 93, 279

The HCF of 370,279 is 1.

Lets's calculate GCF of 370,279

Greatest Common Factor (GCF) of 370,279 By Common Division

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

Greatest Common Factor of 370,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,279 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 279

:

1,3,9,31,93,279

Greatest Common Factor

We found the factors 370,279 . The biggest common factor number is the GCF number.
So the greatest common factor 370,279 is 1.

Lets's calculate LCM of 52,700

Lowest Common Multiple of 52,700 using Common Division

2 52, 700
2 26, 350
13, 175

∴ So the LCM of the given numbers is 2 x 2 x 13 x 175 = 9100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9100

Therefore, the GCF of Fractions 370/52,279/700 is 1/9100

Least Common Multiple of 52,700 with GCF Formula

Least Common Multiple of 52,700 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 52,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,700) = 4

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

GCF(52,700) x common factors =4 x 1 = 4

LCM(52,700) = ( 52 × 700 ) / 4

LCM(52,700) = 36400 / 4

LCM(52,700) = 9100


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FAQs on GCF of Fractions of 370/52, 279/700

1. What is the HCF of 370,279?

The HCF of 370,279 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 370/52, 279/700?

Answer: GCF of Numerators as per given numbers 370/52, 279/700 is

GCF of Numerators i.e. for 370,279 is 1

LCM of denominators i.e. for 52,700 is 9100.

Thus, GCF of Fractions is 1/9100.Finally, GCF of Fractions for 370/52, 279/700 is 1/9100.