How to Find GCF of 8963/851, 3434/8803?

GCF of 8963/851, 3434/8803

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 8963/851, 3434/8803 i.e 1/7491353 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8963/851, 3434/8803.

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 8963/851,3434/8803?

Given fractions are 8963/851,3434/8803

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 8963/851,3434/8803, numerators are 8963,3434

Denominators are 851,8803

The GCF of 8963,3434 is 1 .

LCM of 851,8803 is 7491353.

The greatest common factor of 8963/851,3434/8803 = [GCF of 8963,3434]/[LCM of 851,8803]= 1/7491353

Therefore, the GCF of 8963/851,3434/8803 is 1/7491353.

Greatest Common Factor of 8963,3434

To find the highest common factor of 8963,3434, we have to find the factors of both numbers and list the highest common factor.

The factors of 8963 are 1, 8963

The factors of 3434 are 1, 2, 17, 34, 101, 202, 1717, 3434

The HCF of 8963,3434 is 1.

Lets's calculate GCF of 8963,3434

Greatest Common Factor (GCF) of 8963,3434 By Common Division

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

Greatest Common Factor of 8963,3434 By Matching Biggest Common Factor Method

Now, list down the factors of 8963

1,8963

Now, list down the factors of 3434

1,2,17,34,101,202,1717,3434

Greatest Common Factor

We found the factors 8963,3434 . The biggest common factor number is the GCF number.
So the greatest common factor 8963,3434 is 1.

Lets's calculate LCM of 851,8803

Lowest Common Multiple of 851,8803 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7491353

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7491353

Therefore, the GCF of Fractions 8963/851,3434/8803 is 1/7491353

Least Common Multiple of 851,8803 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 851,8803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,8803) = 1

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

GCF(851,8803) x common factors =1 x 1 = 1

LCM(851,8803) = ( 851 × 8803 ) / 1

LCM(851,8803) = 7491353 / 1

LCM(851,8803) = 7491353

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FAQs on GCF of Fractions of 8963/851, 3434/8803

1. What is the HCF of 8963,3434?

The HCF of 8963,3434 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 8963/851, 3434/8803?

Answer: GCF of Numerators as per given numbers 8963/851, 3434/8803 is

GCF of Numerators i.e. for 8963,3434 is 1

LCM of denominators i.e. for 851,8803 is 7491353.

Thus, GCF of Fractions is 1/7491353.Finally, GCF of Fractions for 8963/851, 3434/8803 is 1/7491353.