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GCF of 950/20, 814/316

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 950/20, 814/316 i.e 2/1580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 950/20, 814/316.

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 950/20,814/316?

Given fractions are 950/20,814/316

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 950/20,814/316, numerators are 950,814

Denominators are 20,316

The GCF of 950,814 is 2 .

LCM of 20,316 is 1580.

The greatest common factor of 950/20,814/316 = [GCF of 950,814]/[LCM of 20,316]= 2/1580

Therefore, the GCF of 950/20,814/316 is 2/1580.

Greatest Common Factor of 950,814

To find the highest common factor of 950,814, we have to find the factors of both numbers and list the highest common factor.

The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814

The HCF of 950,814 is 2.

Lets's calculate GCF of 950,814

Greatest Common Factor (GCF) of 950,814 By Common Division

2 950, 814
475, 407

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

Greatest Common Factor of 950,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 950,814 By Matching Biggest Common Factor Method

Now, list down the factors of 950

:

1,2,5,10,19,25,38,50,95,190,475,950

Now, list down the factors of 814

:

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 950,814 . The biggest common factor number is the GCF number.
So the greatest common factor 950,814 is 2.

Lets's calculate LCM of 20,316

Lowest Common Multiple of 20,316 using Common Division

2 20, 316
2 10, 158
5, 79

∴ So the LCM of the given numbers is 2 x 2 x 5 x 79 = 1580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1580

Therefore, the GCF of Fractions 950/20,814/316 is 2/1580

Least Common Multiple of 20,316 with GCF Formula

Least Common Multiple of 20,316 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 20,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,316) = 4

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

GCF(20,316) x common factors =4 x 1 = 4

LCM(20,316) = ( 20 × 316 ) / 4

LCM(20,316) = 6320 / 4

LCM(20,316) = 1580


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FAQs on GCF of Fractions of 950/20, 814/316

1. What is the HCF of 950,814?

The HCF of 950,814 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 950/20, 814/316?

Answer: GCF of Numerators as per given numbers 950/20, 814/316 is

GCF of Numerators i.e. for 950,814 is 2

LCM of denominators i.e. for 20,316 is 1580.

Thus, GCF of Fractions is 2/1580.Finally, GCF of Fractions for 950/20, 814/316 is 2/1580.