How to Find GCF of 9786/926, 4807/554?

GCF of 9786/926, 4807/554

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 9786/926, 4807/554 i.e 1/256502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9786/926, 4807/554.

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 9786/926,4807/554?

Given fractions are 9786/926,4807/554

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 9786/926,4807/554, numerators are 9786,4807

Denominators are 926,554

The GCF of 9786,4807 is 1 .

LCM of 926,554 is 256502.

The greatest common factor of 9786/926,4807/554 = [GCF of 9786,4807]/[LCM of 926,554]= 1/256502

Therefore, the GCF of 9786/926,4807/554 is 1/256502.

Greatest Common Factor of 9786,4807

To find the highest common factor of 9786,4807, we have to find the factors of both numbers and list the highest common factor.

The factors of 9786 are 1, 2, 3, 6, 7, 14, 21, 42, 233, 466, 699, 1398, 1631, 3262, 4893, 9786

The factors of 4807 are 1, 11, 19, 23, 209, 253, 437, 4807

The HCF of 9786,4807 is 1.

Lets's calculate GCF of 9786,4807

Greatest Common Factor (GCF) of 9786,4807 By Common Division

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

Greatest Common Factor of 9786,4807 By Matching Biggest Common Factor Method

Now, list down the factors of 9786

1,2,3,6,7,14,21,42,233,466,699,1398,1631,3262,4893,9786

Now, list down the factors of 4807

1,11,19,23,209,253,437,4807

Greatest Common Factor

We found the factors 9786,4807 . The biggest common factor number is the GCF number.
So the greatest common factor 9786,4807 is 1.

Lets's calculate LCM of 926,554

Lowest Common Multiple of 926,554 using Common Division

2	926, 554
	463, 277

∴ So the LCM of the given numbers is 2 x 463 x 277 = 256502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256502

Therefore, the GCF of Fractions 9786/926,4807/554 is 1/256502

Least Common Multiple of 926,554 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 926,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,554) = 2

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

GCF(926,554) x common factors =2 x 1 = 2

LCM(926,554) = ( 926 × 554 ) / 2

LCM(926,554) = 513004 / 2

LCM(926,554) = 256502

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FAQs on GCF of Fractions of 9786/926, 4807/554

1. What is the HCF of 9786,4807?

The HCF of 9786,4807 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 9786/926, 4807/554?

Answer: GCF of Numerators as per given numbers 9786/926, 4807/554 is

GCF of Numerators i.e. for 9786,4807 is 1

LCM of denominators i.e. for 926,554 is 256502.

Thus, GCF of Fractions is 1/256502.Finally, GCF of Fractions for 9786/926, 4807/554 is 1/256502.