How to Find GCF of 9943/916, 5470/8597?

GCF of 9943/916, 5470/8597

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 9943/916, 5470/8597 i.e 1/7874852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9943/916, 5470/8597.

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 9943/916,5470/8597?

Given fractions are 9943/916,5470/8597

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 9943/916,5470/8597, numerators are 9943,5470

Denominators are 916,8597

The GCF of 9943,5470 is 1 .

LCM of 916,8597 is 7874852.

The greatest common factor of 9943/916,5470/8597 = [GCF of 9943,5470]/[LCM of 916,8597]= 1/7874852

Therefore, the GCF of 9943/916,5470/8597 is 1/7874852.

Greatest Common Factor of 9943,5470

To find the highest common factor of 9943,5470, we have to find the factors of both numbers and list the highest common factor.

The factors of 9943 are 1, 61, 163, 9943

The factors of 5470 are 1, 2, 5, 10, 547, 1094, 2735, 5470

The HCF of 9943,5470 is 1.

Lets's calculate GCF of 9943,5470

Greatest Common Factor (GCF) of 9943,5470 By Common Division

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

Greatest Common Factor of 9943,5470 By Matching Biggest Common Factor Method

Now, list down the factors of 9943

1,61,163,9943

Now, list down the factors of 5470

1,2,5,10,547,1094,2735,5470

Greatest Common Factor

We found the factors 9943,5470 . The biggest common factor number is the GCF number.
So the greatest common factor 9943,5470 is 1.

Lets's calculate LCM of 916,8597

Lowest Common Multiple of 916,8597 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7874852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7874852

Therefore, the GCF of Fractions 9943/916,5470/8597 is 1/7874852

Least Common Multiple of 916,8597 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 916,8597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,8597) = 1

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

GCF(916,8597) x common factors =1 x 1 = 1

LCM(916,8597) = ( 916 × 8597 ) / 1

LCM(916,8597) = 7874852 / 1

LCM(916,8597) = 7874852

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9943/916, 5470/8597

1. What is the HCF of 9943,5470?

The HCF of 9943,5470 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 9943/916, 5470/8597?

Answer: GCF of Numerators as per given numbers 9943/916, 5470/8597 is

GCF of Numerators i.e. for 9943,5470 is 1

LCM of denominators i.e. for 916,8597 is 7874852.

Thus, GCF of Fractions is 1/7874852.Finally, GCF of Fractions for 9943/916, 5470/8597 is 1/7874852.