How to Find GCF of 8095/641, 3747/1263?

GCF of 8095/641, 3747/1263

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 8095/641, 3747/1263 i.e 1/809583 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8095/641, 3747/1263.

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 8095/641,3747/1263?

Given fractions are 8095/641,3747/1263

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 8095/641,3747/1263, numerators are 8095,3747

Denominators are 641,1263

The GCF of 8095,3747 is 1 .

LCM of 641,1263 is 809583.

The greatest common factor of 8095/641,3747/1263 = [GCF of 8095,3747]/[LCM of 641,1263]= 1/809583

Therefore, the GCF of 8095/641,3747/1263 is 1/809583.

Greatest Common Factor of 8095,3747

To find the highest common factor of 8095,3747, we have to find the factors of both numbers and list the highest common factor.

The factors of 8095 are 1, 5, 1619, 8095

The factors of 3747 are 1, 3, 1249, 3747

The HCF of 8095,3747 is 1.

Lets's calculate GCF of 8095,3747

Greatest Common Factor (GCF) of 8095,3747 By Common Division

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

Greatest Common Factor of 8095,3747 By Matching Biggest Common Factor Method

Now, list down the factors of 8095

1,5,1619,8095

Now, list down the factors of 3747

1,3,1249,3747

Greatest Common Factor

We found the factors 8095,3747 . The biggest common factor number is the GCF number.
So the greatest common factor 8095,3747 is 1.

Lets's calculate LCM of 641,1263

Lowest Common Multiple of 641,1263 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 809583

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/809583

Therefore, the GCF of Fractions 8095/641,3747/1263 is 1/809583

Least Common Multiple of 641,1263 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 641,1263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(641,1263) = 1

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

GCF(641,1263) x common factors =1 x 1 = 1

LCM(641,1263) = ( 641 × 1263 ) / 1

LCM(641,1263) = 809583 / 1

LCM(641,1263) = 809583

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FAQs on GCF of Fractions of 8095/641, 3747/1263

1. What is the HCF of 8095,3747?

The HCF of 8095,3747 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 8095/641, 3747/1263?

Answer: GCF of Numerators as per given numbers 8095/641, 3747/1263 is

GCF of Numerators i.e. for 8095,3747 is 1

LCM of denominators i.e. for 641,1263 is 809583.

Thus, GCF of Fractions is 1/809583.Finally, GCF of Fractions for 8095/641, 3747/1263 is 1/809583.