How to Find GCF of 1924/148, 9633/7351?

GCF of 1924/148, 9633/7351

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 1924/148, 9633/7351 i.e 13/1087948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1924/148, 9633/7351.

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 1924/148,9633/7351?

Given fractions are 1924/148,9633/7351

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 1924/148,9633/7351, numerators are 1924,9633

Denominators are 148,7351

The GCF of 1924,9633 is 13 .

LCM of 148,7351 is 1087948.

The greatest common factor of 1924/148,9633/7351 = [GCF of 1924,9633]/[LCM of 148,7351]= 13/1087948

Therefore, the GCF of 1924/148,9633/7351 is 13/1087948.

Greatest Common Factor of 1924,9633

To find the highest common factor of 1924,9633, we have to find the factors of both numbers and list the highest common factor.

The factors of 1924 are 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924

The factors of 9633 are 1, 3, 13, 19, 39, 57, 169, 247, 507, 741, 3211, 9633

The HCF of 1924,9633 is 13.

Lets's calculate GCF of 1924,9633

Greatest Common Factor (GCF) of 1924,9633 By Common Division

13	1924, 9633
	148, 741

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 1924,9633 By Matching Biggest Common Factor Method

Now, list down the factors of 1924

1,2,4,13,26,37,52,74,148,481,962,1924

Now, list down the factors of 9633

1,3,13,19,39,57,169,247,507,741,3211,9633

Greatest Common Factor

We found the factors 1924,9633 . The biggest common factor number is the GCF number.
So the greatest common factor 1924,9633 is 13.

Lets's calculate LCM of 148,7351

Lowest Common Multiple of 148,7351 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1087948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1087948

Therefore, the GCF of Fractions 1924/148,9633/7351 is 13/1087948

Least Common Multiple of 148,7351 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 148,7351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,7351) = 1

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

GCF(148,7351) x common factors =1 x 1 = 1

LCM(148,7351) = ( 148 × 7351 ) / 1

LCM(148,7351) = 1087948 / 1

LCM(148,7351) = 1087948

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FAQs on GCF of Fractions of 1924/148, 9633/7351

1. What is the HCF of 1924,9633?

The HCF of 1924,9633 is 13

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 1924/148, 9633/7351?

Answer: GCF of Numerators as per given numbers 1924/148, 9633/7351 is

GCF of Numerators i.e. for 1924,9633 is 13

LCM of denominators i.e. for 148,7351 is 1087948.

Thus, GCF of Fractions is 13/1087948.Finally, GCF of Fractions for 1924/148, 9633/7351 is 13/1087948.