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GCF of 950/516, 338/289

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 950/516, 338/289 i.e 2/149124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 950/516, 338/289.

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 950/516,338/289?

Given fractions are 950/516,338/289

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 950/516,338/289, numerators are 950,338

Denominators are 516,289

The GCF of 950,338 is 2 .

LCM of 516,289 is 149124.

The greatest common factor of 950/516,338/289 = [GCF of 950,338]/[LCM of 516,289]= 2/149124

Therefore, the GCF of 950/516,338/289 is 2/149124.

Greatest Common Factor of 950,338

To find the highest common factor of 950,338, 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 338 are 1, 2, 13, 26, 169, 338

The HCF of 950,338 is 2.

Lets's calculate GCF of 950,338

Greatest Common Factor (GCF) of 950,338 By Common Division

2 950, 338
475, 169

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

Greatest Common Factor of 950,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 950,338 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 338

:

1,2,13,26,169,338

Greatest Common Factor

We found the factors 950,338 . The biggest common factor number is the GCF number.
So the greatest common factor 950,338 is 2.

Lets's calculate LCM of 516,289

Lowest Common Multiple of 516,289 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 149124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/149124

Therefore, the GCF of Fractions 950/516,338/289 is 2/149124

Least Common Multiple of 516,289 with GCF Formula

Least Common Multiple of 516,289 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 516,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,289) = 1

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

GCF(516,289) x common factors =1 x 1 = 1

LCM(516,289) = ( 516 × 289 ) / 1

LCM(516,289) = 149124 / 1

LCM(516,289) = 149124


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FAQs on GCF of Fractions of 950/516, 338/289

1. What is the HCF of 950,338?

The HCF of 950,338 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 950/516, 338/289?

Answer: GCF of Numerators as per given numbers 950/516, 338/289 is

GCF of Numerators i.e. for 950,338 is 2

LCM of denominators i.e. for 516,289 is 149124.

Thus, GCF of Fractions is 2/149124.Finally, GCF of Fractions for 950/516, 338/289 is 2/149124.