How to Find GCF of 9948/326, 7084/1497?

GCF of 9948/326, 7084/1497

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 9948/326, 7084/1497 i.e 4/488022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9948/326, 7084/1497.

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 9948/326,7084/1497?

Given fractions are 9948/326,7084/1497

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 9948/326,7084/1497, numerators are 9948,7084

Denominators are 326,1497

The GCF of 9948,7084 is 4 .

LCM of 326,1497 is 488022.

The greatest common factor of 9948/326,7084/1497 = [GCF of 9948,7084]/[LCM of 326,1497]= 4/488022

Therefore, the GCF of 9948/326,7084/1497 is 4/488022.

Greatest Common Factor of 9948,7084

To find the highest common factor of 9948,7084, we have to find the factors of both numbers and list the highest common factor.

The factors of 9948 are 1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948

The factors of 7084 are 1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084

The HCF of 9948,7084 is 4.

Lets's calculate GCF of 9948,7084

Greatest Common Factor (GCF) of 9948,7084 By Common Division

2	9948, 7084
2	4974, 3542
	2487, 1771

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

Greatest Common Factor of 9948,7084 By Matching Biggest Common Factor Method

Now, list down the factors of 9948

1,2,3,4,6,12,829,1658,2487,3316,4974,9948

Now, list down the factors of 7084

1,2,4,7,11,14,22,23,28,44,46,77,92,154,161,253,308,322,506,644,1012,1771,3542,7084

Greatest Common Factor

We found the factors 9948,7084 . The biggest common factor number is the GCF number.
So the greatest common factor 9948,7084 is 4.

Lets's calculate LCM of 326,1497

Lowest Common Multiple of 326,1497 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 488022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/488022

Therefore, the GCF of Fractions 9948/326,7084/1497 is 4/488022

Least Common Multiple of 326,1497 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 326,1497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,1497) = 1

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

GCF(326,1497) x common factors =1 x 1 = 1

LCM(326,1497) = ( 326 × 1497 ) / 1

LCM(326,1497) = 488022 / 1

LCM(326,1497) = 488022

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FAQs on GCF of Fractions of 9948/326, 7084/1497

1. What is the HCF of 9948,7084?

The HCF of 9948,7084 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 9948/326, 7084/1497?

Answer: GCF of Numerators as per given numbers 9948/326, 7084/1497 is

GCF of Numerators i.e. for 9948,7084 is 4

LCM of denominators i.e. for 326,1497 is 488022.

Thus, GCF of Fractions is 4/488022.Finally, GCF of Fractions for 9948/326, 7084/1497 is 4/488022.