How to Find GCF of 9748/690, 3522/6130?

GCF of 9748/690, 3522/6130

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 9748/690, 3522/6130 i.e 2/422970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9748/690, 3522/6130.

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 9748/690,3522/6130?

Given fractions are 9748/690,3522/6130

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 9748/690,3522/6130, numerators are 9748,3522

Denominators are 690,6130

The GCF of 9748,3522 is 2 .

LCM of 690,6130 is 422970.

The greatest common factor of 9748/690,3522/6130 = [GCF of 9748,3522]/[LCM of 690,6130]= 2/422970

Therefore, the GCF of 9748/690,3522/6130 is 2/422970.

Greatest Common Factor of 9748,3522

To find the highest common factor of 9748,3522, we have to find the factors of both numbers and list the highest common factor.

The factors of 9748 are 1, 2, 4, 2437, 4874, 9748

The factors of 3522 are 1, 2, 3, 6, 587, 1174, 1761, 3522

The HCF of 9748,3522 is 2.

Lets's calculate GCF of 9748,3522

Greatest Common Factor (GCF) of 9748,3522 By Common Division

2	9748, 3522
	4874, 1761

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

Greatest Common Factor of 9748,3522 By Matching Biggest Common Factor Method

Now, list down the factors of 9748

1,2,4,2437,4874,9748

Now, list down the factors of 3522

1,2,3,6,587,1174,1761,3522

Greatest Common Factor

We found the factors 9748,3522 . The biggest common factor number is the GCF number.
So the greatest common factor 9748,3522 is 2.

Lets's calculate LCM of 690,6130

Lowest Common Multiple of 690,6130 using Common Division

2	690, 6130
5	345, 3065
	69, 613

∴ So the LCM of the given numbers is 2 x 5 x 69 x 613 = 422970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/422970

Therefore, the GCF of Fractions 9748/690,3522/6130 is 2/422970

Least Common Multiple of 690,6130 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 690,6130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,6130) = 10

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

GCF(690,6130) x common factors =10 x 1 = 10

LCM(690,6130) = ( 690 × 6130 ) / 10

LCM(690,6130) = 4229700 / 10

LCM(690,6130) = 422970

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FAQs on GCF of Fractions of 9748/690, 3522/6130

1. What is the HCF of 9748,3522?

The HCF of 9748,3522 is 2

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 9748/690, 3522/6130?

Answer: GCF of Numerators as per given numbers 9748/690, 3522/6130 is

GCF of Numerators i.e. for 9748,3522 is 2

LCM of denominators i.e. for 690,6130 is 422970.

Thus, GCF of Fractions is 2/422970.Finally, GCF of Fractions for 9748/690, 3522/6130 is 2/422970.