How to Find GCF of 1931/325, 5465/3548?

GCF of 1931/325, 5465/3548

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 1931/325, 5465/3548 i.e 1/1153100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1931/325, 5465/3548.

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 1931/325,5465/3548?

Given fractions are 1931/325,5465/3548

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 1931/325,5465/3548, numerators are 1931,5465

Denominators are 325,3548

The GCF of 1931,5465 is 1 .

LCM of 325,3548 is 1153100.

The greatest common factor of 1931/325,5465/3548 = [GCF of 1931,5465]/[LCM of 325,3548]= 1/1153100

Therefore, the GCF of 1931/325,5465/3548 is 1/1153100.

Greatest Common Factor of 1931,5465

To find the highest common factor of 1931,5465, we have to find the factors of both numbers and list the highest common factor.

The factors of 1931 are 1, 1931

The factors of 5465 are 1, 5, 1093, 5465

The HCF of 1931,5465 is 1.

Lets's calculate GCF of 1931,5465

Greatest Common Factor (GCF) of 1931,5465 By Common Division

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

Greatest Common Factor of 1931,5465 By Matching Biggest Common Factor Method

Now, list down the factors of 1931

1,1931

Now, list down the factors of 5465

1,5,1093,5465

Greatest Common Factor

We found the factors 1931,5465 . The biggest common factor number is the GCF number.
So the greatest common factor 1931,5465 is 1.

Lets's calculate LCM of 325,3548

Lowest Common Multiple of 325,3548 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1153100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1153100

Therefore, the GCF of Fractions 1931/325,5465/3548 is 1/1153100

Least Common Multiple of 325,3548 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 325,3548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,3548) = 1

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

GCF(325,3548) x common factors =1 x 1 = 1

LCM(325,3548) = ( 325 × 3548 ) / 1

LCM(325,3548) = 1153100 / 1

LCM(325,3548) = 1153100

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FAQs on GCF of Fractions of 1931/325, 5465/3548

1. What is the HCF of 1931,5465?

The HCF of 1931,5465 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 1931/325, 5465/3548?

Answer: GCF of Numerators as per given numbers 1931/325, 5465/3548 is

GCF of Numerators i.e. for 1931,5465 is 1

LCM of denominators i.e. for 325,3548 is 1153100.

Thus, GCF of Fractions is 1/1153100.Finally, GCF of Fractions for 1931/325, 5465/3548 is 1/1153100.