How to Find GCF of 7783/234, 8536/7397?

GCF of 7783/234, 8536/7397

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 7783/234, 8536/7397 i.e 1/133146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7783/234, 8536/7397.

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 7783/234,8536/7397?

Given fractions are 7783/234,8536/7397

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 7783/234,8536/7397, numerators are 7783,8536

Denominators are 234,7397

The GCF of 7783,8536 is 1 .

LCM of 234,7397 is 133146.

The greatest common factor of 7783/234,8536/7397 = [GCF of 7783,8536]/[LCM of 234,7397]= 1/133146

Therefore, the GCF of 7783/234,8536/7397 is 1/133146.

Greatest Common Factor of 7783,8536

To find the highest common factor of 7783,8536, we have to find the factors of both numbers and list the highest common factor.

The factors of 7783 are 1, 43, 181, 7783

The factors of 8536 are 1, 2, 4, 8, 11, 22, 44, 88, 97, 194, 388, 776, 1067, 2134, 4268, 8536

The HCF of 7783,8536 is 1.

Lets's calculate GCF of 7783,8536

Greatest Common Factor (GCF) of 7783,8536 By Common Division

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

Greatest Common Factor of 7783,8536 By Matching Biggest Common Factor Method

Now, list down the factors of 7783

1,43,181,7783

Now, list down the factors of 8536

1,2,4,8,11,22,44,88,97,194,388,776,1067,2134,4268,8536

Greatest Common Factor

We found the factors 7783,8536 . The biggest common factor number is the GCF number.
So the greatest common factor 7783,8536 is 1.

Lets's calculate LCM of 234,7397

Lowest Common Multiple of 234,7397 using Common Division

13	234, 7397
	18, 569

∴ So the LCM of the given numbers is 13 x 18 x 569 = 133146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133146

Therefore, the GCF of Fractions 7783/234,8536/7397 is 1/133146

Least Common Multiple of 234,7397 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 234,7397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,7397) = 13

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

GCF(234,7397) x common factors =13 x 1 = 13

LCM(234,7397) = ( 234 × 7397 ) / 13

LCM(234,7397) = 1730898 / 13

LCM(234,7397) = 133146

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FAQs on GCF of Fractions of 7783/234, 8536/7397

1. What is the HCF of 7783,8536?

The HCF of 7783,8536 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 7783/234, 8536/7397?

Answer: GCF of Numerators as per given numbers 7783/234, 8536/7397 is

GCF of Numerators i.e. for 7783,8536 is 1

LCM of denominators i.e. for 234,7397 is 133146.

Thus, GCF of Fractions is 1/133146.Finally, GCF of Fractions for 7783/234, 8536/7397 is 1/133146.