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GCF of 374/88, 310/786

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 374/88, 310/786 i.e 2/34584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 374/88, 310/786.

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 374/88,310/786?

Given fractions are 374/88,310/786

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 374/88,310/786, numerators are 374,310

Denominators are 88,786

The GCF of 374,310 is 2 .

LCM of 88,786 is 34584.

The greatest common factor of 374/88,310/786 = [GCF of 374,310]/[LCM of 88,786]= 2/34584

Therefore, the GCF of 374/88,310/786 is 2/34584.

Greatest Common Factor of 374,310

To find the highest common factor of 374,310, we have to find the factors of both numbers and list the highest common factor.

The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374

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

The HCF of 374,310 is 2.

Lets's calculate GCF of 374,310

Greatest Common Factor (GCF) of 374,310 By Common Division

2 374, 310
187, 155

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

Greatest Common Factor of 374,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,310 By Matching Biggest Common Factor Method

Now, list down the factors of 374

:

1,2,11,17,22,34,187,374

Now, list down the factors of 310

:

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

Greatest Common Factor

We found the factors 374,310 . The biggest common factor number is the GCF number.
So the greatest common factor 374,310 is 2.

Lets's calculate LCM of 88,786

Lowest Common Multiple of 88,786 using Common Division

2 88, 786
44, 393

∴ So the LCM of the given numbers is 2 x 44 x 393 = 34584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34584

Therefore, the GCF of Fractions 374/88,310/786 is 2/34584

Least Common Multiple of 88,786 with GCF Formula

Least Common Multiple of 88,786 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 88,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,786) = 2

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

GCF(88,786) x common factors =2 x 1 = 2

LCM(88,786) = ( 88 × 786 ) / 2

LCM(88,786) = 69168 / 2

LCM(88,786) = 34584


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FAQs on GCF of Fractions of 374/88, 310/786

1. What is the HCF of 374,310?

The HCF of 374,310 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 374/88, 310/786?

Answer: GCF of Numerators as per given numbers 374/88, 310/786 is

GCF of Numerators i.e. for 374,310 is 2

LCM of denominators i.e. for 88,786 is 34584.

Thus, GCF of Fractions is 2/34584.Finally, GCF of Fractions for 374/88, 310/786 is 2/34584.