How to Find GCF of 7836/782, 7268/8683?

GCF of 7836/782, 7268/8683

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 7836/782, 7268/8683 i.e 4/6790106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7836/782, 7268/8683.

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 7836/782,7268/8683?

Given fractions are 7836/782,7268/8683

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 7836/782,7268/8683, numerators are 7836,7268

Denominators are 782,8683

The GCF of 7836,7268 is 4 .

LCM of 782,8683 is 6790106.

The greatest common factor of 7836/782,7268/8683 = [GCF of 7836,7268]/[LCM of 782,8683]= 4/6790106

Therefore, the GCF of 7836/782,7268/8683 is 4/6790106.

Greatest Common Factor of 7836,7268

To find the highest common factor of 7836,7268, we have to find the factors of both numbers and list the highest common factor.

The factors of 7836 are 1, 2, 3, 4, 6, 12, 653, 1306, 1959, 2612, 3918, 7836

The factors of 7268 are 1, 2, 4, 23, 46, 79, 92, 158, 316, 1817, 3634, 7268

The HCF of 7836,7268 is 4.

Lets's calculate GCF of 7836,7268

Greatest Common Factor (GCF) of 7836,7268 By Common Division

2	7836, 7268
2	3918, 3634
	1959, 1817

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7836,7268 By Matching Biggest Common Factor Method

Now, list down the factors of 7836

1,2,3,4,6,12,653,1306,1959,2612,3918,7836

Now, list down the factors of 7268

1,2,4,23,46,79,92,158,316,1817,3634,7268

Greatest Common Factor

We found the factors 7836,7268 . The biggest common factor number is the GCF number.
So the greatest common factor 7836,7268 is 4.

Lets's calculate LCM of 782,8683

Lowest Common Multiple of 782,8683 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6790106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6790106

Therefore, the GCF of Fractions 7836/782,7268/8683 is 4/6790106

Least Common Multiple of 782,8683 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 782,8683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,8683) = 1

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

GCF(782,8683) x common factors =1 x 1 = 1

LCM(782,8683) = ( 782 × 8683 ) / 1

LCM(782,8683) = 6790106 / 1

LCM(782,8683) = 6790106

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7836/782, 7268/8683

1. What is the HCF of 7836,7268?

The HCF of 7836,7268 is 4

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 7836/782, 7268/8683?

Answer: GCF of Numerators as per given numbers 7836/782, 7268/8683 is

GCF of Numerators i.e. for 7836,7268 is 4

LCM of denominators i.e. for 782,8683 is 6790106.

Thus, GCF of Fractions is 4/6790106.Finally, GCF of Fractions for 7836/782, 7268/8683 is 4/6790106.