How to Find GCF of 9352/237, 1551/8465?

GCF of 9352/237, 1551/8465

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 9352/237, 1551/8465 i.e 1/2006205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9352/237, 1551/8465.

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 9352/237,1551/8465?

Given fractions are 9352/237,1551/8465

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 9352/237,1551/8465, numerators are 9352,1551

Denominators are 237,8465

The GCF of 9352,1551 is 1 .

LCM of 237,8465 is 2006205.

The greatest common factor of 9352/237,1551/8465 = [GCF of 9352,1551]/[LCM of 237,8465]= 1/2006205

Therefore, the GCF of 9352/237,1551/8465 is 1/2006205.

Greatest Common Factor of 9352,1551

To find the highest common factor of 9352,1551, we have to find the factors of both numbers and list the highest common factor.

The factors of 9352 are 1, 2, 4, 7, 8, 14, 28, 56, 167, 334, 668, 1169, 1336, 2338, 4676, 9352

The factors of 1551 are 1, 3, 11, 33, 47, 141, 517, 1551

The HCF of 9352,1551 is 1.

Lets's calculate GCF of 9352,1551

Greatest Common Factor (GCF) of 9352,1551 By Common Division

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

Greatest Common Factor of 9352,1551 By Matching Biggest Common Factor Method

Now, list down the factors of 9352

1,2,4,7,8,14,28,56,167,334,668,1169,1336,2338,4676,9352

Now, list down the factors of 1551

1,3,11,33,47,141,517,1551

Greatest Common Factor

We found the factors 9352,1551 . The biggest common factor number is the GCF number.
So the greatest common factor 9352,1551 is 1.

Lets's calculate LCM of 237,8465

Lowest Common Multiple of 237,8465 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2006205

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2006205

Therefore, the GCF of Fractions 9352/237,1551/8465 is 1/2006205

Least Common Multiple of 237,8465 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 237,8465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,8465) = 1

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

GCF(237,8465) x common factors =1 x 1 = 1

LCM(237,8465) = ( 237 × 8465 ) / 1

LCM(237,8465) = 2006205 / 1

LCM(237,8465) = 2006205

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FAQs on GCF of Fractions of 9352/237, 1551/8465

1. What is the HCF of 9352,1551?

The HCF of 9352,1551 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 9352/237, 1551/8465?

Answer: GCF of Numerators as per given numbers 9352/237, 1551/8465 is

GCF of Numerators i.e. for 9352,1551 is 1

LCM of denominators i.e. for 237,8465 is 2006205.

Thus, GCF of Fractions is 1/2006205.Finally, GCF of Fractions for 9352/237, 1551/8465 is 1/2006205.