How to Find GCF of 50/28, 391/59, 178/316?

GCF of 50/28, 391/59, 178/316

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 50/28, 391/59, 178/316 i.e 1/130508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/28, 391/59, 178/316.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 50/28,391/59,178/316?

Given fractions are 50/28,391/59,178/316

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 50/28,391/59,178/316, numerators are 50,391,178

Denominators are 28,59,316

The GCF of 50,391,178 is 1 .

LCM of 28,59,316 is 130508.

The greatest common factor of 50/28,391/59,178/316 = [GCF of 50,391,178]/[LCM of 28,59,316]= 1/130508

Therefore, the GCF of 50/28,391/59,178/316 is 1/130508.

Greatest Common Factor of 50,391,178

To find the highest common factor of 50,391,178, we have to find the factors of both numbers and list the highest common factor.

The factors of 50 are 1, 2, 5, 10, 25, 50

The factors of 391 are 1, 17, 23, 391

The factors of 178 are 1, 2, 89, 178

The HCF of 50,391,178 is 1.

Lets's calculate GCF of 50,391,178

Greatest Common Factor (GCF) of 50,391,178 By Common Division

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

Greatest Common Factor of 50,391,178 By Matching Biggest Common Factor Method

Now, list down the factors of 50

1,2,5,10,25,50

Now, list down the factors of 391

1,17,23,391

Now, list down the factors of 178

1,2,89,178

Greatest Common Factor

We found the factors 50,391,178 . The biggest common factor number is the GCF number.
So the greatest common factor 50,391,178 is 1.

Lets's calculate LCM of 28,59,316

Lowest Common Multiple of 28,59,316 using Common Division

2	28, 59, 316
2	14, 59, 158
	7, 59, 79

∴ So the LCM of the given numbers is 2 x 2 x 7 x 59 x 79 = 130508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130508

Therefore, the GCF of Fractions 50/28,391/59,178/316 is 1/130508

Least Common Multiple of 28,59,316 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 28,59,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,59,316) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(28,59,316) x common factors =1 x 4 = 4

LCM(28,59,316) = ( 28 × 59 × 316 ) / 4

LCM(28,59,316) = 522032 / 4

LCM(28,59,316) = 130508

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FAQs on GCF of Fractions of 50/28, 391/59, 178/316

1. What is the HCF of 50,391,178?

The HCF of 50,391,178 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 50/28, 391/59, 178/316?

Answer: GCF of Numerators as per given numbers 50/28, 391/59, 178/316 is

GCF of Numerators i.e. for 50,391,178 is 1

LCM of denominators i.e. for 28,59,316 is 130508.

Thus, GCF of Fractions is 1/130508.Finally, GCF of Fractions for 50/28, 391/59, 178/316 is 1/130508.