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GCF of 314/693, 620/215

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 314/693, 620/215 i.e 2/148995 easily. The following is the detailed procedure to determine the greatest common factor of fractions 314/693, 620/215.

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 314/693,620/215?

Given fractions are 314/693,620/215

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 314/693,620/215, numerators are 314,620

Denominators are 693,215

The GCF of 314,620 is 2 .

LCM of 693,215 is 148995.

The greatest common factor of 314/693,620/215 = [GCF of 314,620]/[LCM of 693,215]= 2/148995

Therefore, the GCF of 314/693,620/215 is 2/148995.

Greatest Common Factor of 314,620

To find the highest common factor of 314,620, we have to find the factors of both numbers and list the highest common factor.

The factors of 314 are 1, 2, 157, 314

The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

The HCF of 314,620 is 2.

Lets's calculate GCF of 314,620

Greatest Common Factor (GCF) of 314,620 By Common Division

2 314, 620
157, 310

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

Greatest Common Factor of 314,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,620 By Matching Biggest Common Factor Method

Now, list down the factors of 314

:

1,2,157,314

Now, list down the factors of 620

:

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 314,620 . The biggest common factor number is the GCF number.
So the greatest common factor 314,620 is 2.

Lets's calculate LCM of 693,215

Lowest Common Multiple of 693,215 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 148995

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/148995

Therefore, the GCF of Fractions 314/693,620/215 is 2/148995

Least Common Multiple of 693,215 with GCF Formula

Least Common Multiple of 693,215 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 693,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,215) = 1

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

GCF(693,215) x common factors =1 x 1 = 1

LCM(693,215) = ( 693 × 215 ) / 1

LCM(693,215) = 148995 / 1

LCM(693,215) = 148995


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FAQs on GCF of Fractions of 314/693, 620/215

1. What is the HCF of 314,620?

The HCF of 314,620 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 314/693, 620/215?

Answer: GCF of Numerators as per given numbers 314/693, 620/215 is

GCF of Numerators i.e. for 314,620 is 2

LCM of denominators i.e. for 693,215 is 148995.

Thus, GCF of Fractions is 2/148995.Finally, GCF of Fractions for 314/693, 620/215 is 2/148995.