How to Find GCF of 8307/983, 1735/6263?

GCF of 8307/983, 1735/6263

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 8307/983, 1735/6263 i.e 1/6156529 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8307/983, 1735/6263.

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 8307/983,1735/6263?

Given fractions are 8307/983,1735/6263

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 8307/983,1735/6263, numerators are 8307,1735

Denominators are 983,6263

The GCF of 8307,1735 is 1 .

LCM of 983,6263 is 6156529.

The greatest common factor of 8307/983,1735/6263 = [GCF of 8307,1735]/[LCM of 983,6263]= 1/6156529

Therefore, the GCF of 8307/983,1735/6263 is 1/6156529.

Greatest Common Factor of 8307,1735

To find the highest common factor of 8307,1735, we have to find the factors of both numbers and list the highest common factor.

The factors of 8307 are 1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769, 8307

The factors of 1735 are 1, 5, 347, 1735

The HCF of 8307,1735 is 1.

Lets's calculate GCF of 8307,1735

Greatest Common Factor (GCF) of 8307,1735 By Common Division

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

Greatest Common Factor of 8307,1735 By Matching Biggest Common Factor Method

Now, list down the factors of 8307

1,3,9,13,39,71,117,213,639,923,2769,8307

Now, list down the factors of 1735

1,5,347,1735

Greatest Common Factor

We found the factors 8307,1735 . The biggest common factor number is the GCF number.
So the greatest common factor 8307,1735 is 1.

Lets's calculate LCM of 983,6263

Lowest Common Multiple of 983,6263 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6156529

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6156529

Therefore, the GCF of Fractions 8307/983,1735/6263 is 1/6156529

Least Common Multiple of 983,6263 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 983,6263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,6263) = 1

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

GCF(983,6263) x common factors =1 x 1 = 1

LCM(983,6263) = ( 983 × 6263 ) / 1

LCM(983,6263) = 6156529 / 1

LCM(983,6263) = 6156529

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FAQs on GCF of Fractions of 8307/983, 1735/6263

1. What is the HCF of 8307,1735?

The HCF of 8307,1735 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 8307/983, 1735/6263?

Answer: GCF of Numerators as per given numbers 8307/983, 1735/6263 is

GCF of Numerators i.e. for 8307,1735 is 1

LCM of denominators i.e. for 983,6263 is 6156529.

Thus, GCF of Fractions is 1/6156529.Finally, GCF of Fractions for 8307/983, 1735/6263 is 1/6156529.