How to Find GCF of 7699/566, 8636/4265?

GCF of 7699/566, 8636/4265

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 7699/566, 8636/4265 i.e 1/2413990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7699/566, 8636/4265.

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 7699/566,8636/4265?

Given fractions are 7699/566,8636/4265

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 7699/566,8636/4265, numerators are 7699,8636

Denominators are 566,4265

The GCF of 7699,8636 is 1 .

LCM of 566,4265 is 2413990.

The greatest common factor of 7699/566,8636/4265 = [GCF of 7699,8636]/[LCM of 566,4265]= 1/2413990

Therefore, the GCF of 7699/566,8636/4265 is 1/2413990.

Greatest Common Factor of 7699,8636

To find the highest common factor of 7699,8636, we have to find the factors of both numbers and list the highest common factor.

The factors of 7699 are 1, 7699

The factors of 8636 are 1, 2, 4, 17, 34, 68, 127, 254, 508, 2159, 4318, 8636

The HCF of 7699,8636 is 1.

Lets's calculate GCF of 7699,8636

Greatest Common Factor (GCF) of 7699,8636 By Common Division

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

Greatest Common Factor of 7699,8636 By Matching Biggest Common Factor Method

Now, list down the factors of 7699

1,7699

Now, list down the factors of 8636

1,2,4,17,34,68,127,254,508,2159,4318,8636

Greatest Common Factor

We found the factors 7699,8636 . The biggest common factor number is the GCF number.
So the greatest common factor 7699,8636 is 1.

Lets's calculate LCM of 566,4265

Lowest Common Multiple of 566,4265 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2413990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2413990

Therefore, the GCF of Fractions 7699/566,8636/4265 is 1/2413990

Least Common Multiple of 566,4265 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 566,4265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,4265) = 1

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

GCF(566,4265) x common factors =1 x 1 = 1

LCM(566,4265) = ( 566 × 4265 ) / 1

LCM(566,4265) = 2413990 / 1

LCM(566,4265) = 2413990

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FAQs on GCF of Fractions of 7699/566, 8636/4265

1. What is the HCF of 7699,8636?

The HCF of 7699,8636 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 7699/566, 8636/4265?

Answer: GCF of Numerators as per given numbers 7699/566, 8636/4265 is

GCF of Numerators i.e. for 7699,8636 is 1

LCM of denominators i.e. for 566,4265 is 2413990.

Thus, GCF of Fractions is 1/2413990.Finally, GCF of Fractions for 7699/566, 8636/4265 is 1/2413990.