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GCF of 395/312, 622/820

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 395/312, 622/820 i.e 1/63960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 395/312, 622/820.

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 395/312,622/820?

Given fractions are 395/312,622/820

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 395/312,622/820, numerators are 395,622

Denominators are 312,820

The GCF of 395,622 is 1 .

LCM of 312,820 is 63960.

The greatest common factor of 395/312,622/820 = [GCF of 395,622]/[LCM of 312,820]= 1/63960

Therefore, the GCF of 395/312,622/820 is 1/63960.

Greatest Common Factor of 395,622

To find the highest common factor of 395,622, we have to find the factors of both numbers and list the highest common factor.

The factors of 395 are 1, 5, 79, 395

The factors of 622 are 1, 2, 311, 622

The HCF of 395,622 is 1.

Lets's calculate GCF of 395,622

Greatest Common Factor (GCF) of 395,622 By Common Division

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

Greatest Common Factor of 395,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 395,622 By Matching Biggest Common Factor Method

Now, list down the factors of 395

:

1,5,79,395

Now, list down the factors of 622

:

1,2,311,622

Greatest Common Factor

We found the factors 395,622 . The biggest common factor number is the GCF number.
So the greatest common factor 395,622 is 1.

Lets's calculate LCM of 312,820

Lowest Common Multiple of 312,820 using Common Division

2 312, 820
2 156, 410
78, 205

∴ So the LCM of the given numbers is 2 x 2 x 78 x 205 = 63960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63960

Therefore, the GCF of Fractions 395/312,622/820 is 1/63960

Least Common Multiple of 312,820 with GCF Formula

Least Common Multiple of 312,820 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 312,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,820) = 4

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

GCF(312,820) x common factors =4 x 1 = 4

LCM(312,820) = ( 312 × 820 ) / 4

LCM(312,820) = 255840 / 4

LCM(312,820) = 63960


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FAQs on GCF of Fractions of 395/312, 622/820

1. What is the HCF of 395,622?

The HCF of 395,622 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 395/312, 622/820?

Answer: GCF of Numerators as per given numbers 395/312, 622/820 is

GCF of Numerators i.e. for 395,622 is 1

LCM of denominators i.e. for 312,820 is 63960.

Thus, GCF of Fractions is 1/63960.Finally, GCF of Fractions for 395/312, 622/820 is 1/63960.