How to Find GCF of 477/601, 700/350?

GCF of 477/601, 700/350

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 477/601, 700/350 i.e 1/210350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 477/601, 700/350.

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 477/601,700/350?

Given fractions are 477/601,700/350

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 477/601,700/350, numerators are 477,700

Denominators are 601,350

The GCF of 477,700 is 1 .

LCM of 601,350 is 210350.

The greatest common factor of 477/601,700/350 = [GCF of 477,700]/[LCM of 601,350]= 1/210350

Therefore, the GCF of 477/601,700/350 is 1/210350.

Greatest Common Factor of 477,700

To find the highest common factor of 477,700, we have to find the factors of both numbers and list the highest common factor.

The factors of 477 are 1, 3, 9, 53, 159, 477

The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

The HCF of 477,700 is 1.

Lets's calculate GCF of 477,700

Greatest Common Factor (GCF) of 477,700 By Common Division

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

Greatest Common Factor of 477,700 By Matching Biggest Common Factor Method

Now, list down the factors of 477

1,3,9,53,159,477

Now, list down the factors of 700

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 477,700 . The biggest common factor number is the GCF number.
So the greatest common factor 477,700 is 1.

Lets's calculate LCM of 601,350

Lowest Common Multiple of 601,350 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 210350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210350

Therefore, the GCF of Fractions 477/601,700/350 is 1/210350

Least Common Multiple of 601,350 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 601,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,350) = 1

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

GCF(601,350) x common factors =1 x 1 = 1

LCM(601,350) = ( 601 × 350 ) / 1

LCM(601,350) = 210350 / 1

LCM(601,350) = 210350

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FAQs on GCF of Fractions of 477/601, 700/350

1. What is the HCF of 477,700?

The HCF of 477,700 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 477/601, 700/350?

Answer: GCF of Numerators as per given numbers 477/601, 700/350 is

GCF of Numerators i.e. for 477,700 is 1

LCM of denominators i.e. for 601,350 is 210350.

Thus, GCF of Fractions is 1/210350.Finally, GCF of Fractions for 477/601, 700/350 is 1/210350.