How to Find GCF of 50/14, 643/74, 977/692?

GCF of 50/14, 643/74, 977/692

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 50/14, 643/74, 977/692 i.e 1/179228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/14, 643/74, 977/692.

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 50/14,643/74,977/692?

Given fractions are 50/14,643/74,977/692

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 50/14,643/74,977/692, numerators are 50,643,977

Denominators are 14,74,692

The GCF of 50,643,977 is 1 .

LCM of 14,74,692 is 179228.

The greatest common factor of 50/14,643/74,977/692 = [GCF of 50,643,977]/[LCM of 14,74,692]= 1/179228

Therefore, the GCF of 50/14,643/74,977/692 is 1/179228.

Greatest Common Factor of 50,643,977

To find the highest common factor of 50,643,977, 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 643 are 1, 643

The factors of 977 are 1, 977

The HCF of 50,643,977 is 1.

Lets's calculate GCF of 50,643,977

Greatest Common Factor (GCF) of 50,643,977 By Common Division

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

Greatest Common Factor of 50,643,977 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 643

1,643

Now, list down the factors of 977

1,977

Greatest Common Factor

We found the factors 50,643,977 . The biggest common factor number is the GCF number.
So the greatest common factor 50,643,977 is 1.

Lets's calculate LCM of 14,74,692

Lowest Common Multiple of 14,74,692 using Common Division

2	14, 74, 692
	7, 37, 346

∴ So the LCM of the given numbers is 2 x 7 x 37 x 346 = 179228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179228

Therefore, the GCF of Fractions 50/14,643/74,977/692 is 1/179228

Least Common Multiple of 14,74,692 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 14,74,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,74,692) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(14,74,692) x common factors =2 x 2 = 4

LCM(14,74,692) = ( 14 × 74 × 692 ) / 4

LCM(14,74,692) = 716912 / 4

LCM(14,74,692) = 179228

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 50/14, 643/74, 977/692

1. What is the HCF of 50,643,977?

The HCF of 50,643,977 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 50/14, 643/74, 977/692?

Answer: GCF of Numerators as per given numbers 50/14, 643/74, 977/692 is

GCF of Numerators i.e. for 50,643,977 is 1

LCM of denominators i.e. for 14,74,692 is 179228.

Thus, GCF of Fractions is 1/179228.Finally, GCF of Fractions for 50/14, 643/74, 977/692 is 1/179228.