How to Find GCF of 9838/12, 6527/692?

GCF of 9838/12, 6527/692

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 9838/12, 6527/692 i.e 1/2076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9838/12, 6527/692.

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 9838/12,6527/692?

Given fractions are 9838/12,6527/692

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 9838/12,6527/692, numerators are 9838,6527

Denominators are 12,692

The GCF of 9838,6527 is 1 .

LCM of 12,692 is 2076.

The greatest common factor of 9838/12,6527/692 = [GCF of 9838,6527]/[LCM of 12,692]= 1/2076

Therefore, the GCF of 9838/12,6527/692 is 1/2076.

Greatest Common Factor of 9838,6527

To find the highest common factor of 9838,6527, we have to find the factors of both numbers and list the highest common factor.

The factors of 9838 are 1, 2, 4919, 9838

The factors of 6527 are 1, 61, 107, 6527

The HCF of 9838,6527 is 1.

Lets's calculate GCF of 9838,6527

Greatest Common Factor (GCF) of 9838,6527 By Common Division

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

Greatest Common Factor of 9838,6527 By Matching Biggest Common Factor Method

Now, list down the factors of 9838

1,2,4919,9838

Now, list down the factors of 6527

1,61,107,6527

Greatest Common Factor

We found the factors 9838,6527 . The biggest common factor number is the GCF number.
So the greatest common factor 9838,6527 is 1.

Lets's calculate LCM of 12,692

Lowest Common Multiple of 12,692 using Common Division

2	12, 692
2	6, 346
	3, 173

∴ So the LCM of the given numbers is 2 x 2 x 3 x 173 = 2076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2076

Therefore, the GCF of Fractions 9838/12,6527/692 is 1/2076

Least Common Multiple of 12,692 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 12,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,692) = 4

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

GCF(12,692) x common factors =4 x 1 = 4

LCM(12,692) = ( 12 × 692 ) / 4

LCM(12,692) = 8304 / 4

LCM(12,692) = 2076

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FAQs on GCF of Fractions of 9838/12, 6527/692

1. What is the HCF of 9838,6527?

The HCF of 9838,6527 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 9838/12, 6527/692?

Answer: GCF of Numerators as per given numbers 9838/12, 6527/692 is

GCF of Numerators i.e. for 9838,6527 is 1

LCM of denominators i.e. for 12,692 is 2076.

Thus, GCF of Fractions is 1/2076.Finally, GCF of Fractions for 9838/12, 6527/692 is 1/2076.