How to Find GCF of 5420/964, 3457/3125?

GCF of 5420/964, 3457/3125

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 5420/964, 3457/3125 i.e 1/3012500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5420/964, 3457/3125.

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 5420/964,3457/3125?

Given fractions are 5420/964,3457/3125

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 5420/964,3457/3125, numerators are 5420,3457

Denominators are 964,3125

The GCF of 5420,3457 is 1 .

LCM of 964,3125 is 3012500.

The greatest common factor of 5420/964,3457/3125 = [GCF of 5420,3457]/[LCM of 964,3125]= 1/3012500

Therefore, the GCF of 5420/964,3457/3125 is 1/3012500.

Greatest Common Factor of 5420,3457

To find the highest common factor of 5420,3457, we have to find the factors of both numbers and list the highest common factor.

The factors of 5420 are 1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420

The factors of 3457 are 1, 3457

The HCF of 5420,3457 is 1.

Lets's calculate GCF of 5420,3457

Greatest Common Factor (GCF) of 5420,3457 By Common Division

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

Greatest Common Factor of 5420,3457 By Matching Biggest Common Factor Method

Now, list down the factors of 5420

1,2,4,5,10,20,271,542,1084,1355,2710,5420

Now, list down the factors of 3457

1,3457

Greatest Common Factor

We found the factors 5420,3457 . The biggest common factor number is the GCF number.
So the greatest common factor 5420,3457 is 1.

Lets's calculate LCM of 964,3125

Lowest Common Multiple of 964,3125 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3012500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3012500

Therefore, the GCF of Fractions 5420/964,3457/3125 is 1/3012500

Least Common Multiple of 964,3125 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 964,3125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,3125) = 1

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

GCF(964,3125) x common factors =1 x 1 = 1

LCM(964,3125) = ( 964 × 3125 ) / 1

LCM(964,3125) = 3012500 / 1

LCM(964,3125) = 3012500

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5420/964, 3457/3125

1. What is the HCF of 5420,3457?

The HCF of 5420,3457 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 5420/964, 3457/3125?

Answer: GCF of Numerators as per given numbers 5420/964, 3457/3125 is

GCF of Numerators i.e. for 5420,3457 is 1

LCM of denominators i.e. for 964,3125 is 3012500.

Thus, GCF of Fractions is 1/3012500.Finally, GCF of Fractions for 5420/964, 3457/3125 is 1/3012500.