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GCF of 370/212, 752/733

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 370/212, 752/733 i.e 2/155396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 370/212, 752/733.

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 370/212,752/733?

Given fractions are 370/212,752/733

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 370/212,752/733, numerators are 370,752

Denominators are 212,733

The GCF of 370,752 is 2 .

LCM of 212,733 is 155396.

The greatest common factor of 370/212,752/733 = [GCF of 370,752]/[LCM of 212,733]= 2/155396

Therefore, the GCF of 370/212,752/733 is 2/155396.

Greatest Common Factor of 370,752

To find the highest common factor of 370,752, 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 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

The HCF of 370,752 is 2.

Lets's calculate GCF of 370,752

Greatest Common Factor (GCF) of 370,752 By Common Division

2 370, 752
185, 376

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

Greatest Common Factor of 370,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,752 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 752

:

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 370,752 . The biggest common factor number is the GCF number.
So the greatest common factor 370,752 is 2.

Lets's calculate LCM of 212,733

Lowest Common Multiple of 212,733 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 155396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/155396

Therefore, the GCF of Fractions 370/212,752/733 is 2/155396

Least Common Multiple of 212,733 with GCF Formula

Least Common Multiple of 212,733 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 212,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,733) = 1

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

GCF(212,733) x common factors =1 x 1 = 1

LCM(212,733) = ( 212 × 733 ) / 1

LCM(212,733) = 155396 / 1

LCM(212,733) = 155396


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FAQs on GCF of Fractions of 370/212, 752/733

1. What is the HCF of 370,752?

The HCF of 370,752 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 370/212, 752/733?

Answer: GCF of Numerators as per given numbers 370/212, 752/733 is

GCF of Numerators i.e. for 370,752 is 2

LCM of denominators i.e. for 212,733 is 155396.

Thus, GCF of Fractions is 2/155396.Finally, GCF of Fractions for 370/212, 752/733 is 2/155396.