How to Find GCF of 4207/964, 9341/7304?

GCF of 4207/964, 9341/7304

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 4207/964, 9341/7304 i.e 1/1760264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4207/964, 9341/7304.

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 4207/964,9341/7304?

Given fractions are 4207/964,9341/7304

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 4207/964,9341/7304, numerators are 4207,9341

Denominators are 964,7304

The GCF of 4207,9341 is 1 .

LCM of 964,7304 is 1760264.

The greatest common factor of 4207/964,9341/7304 = [GCF of 4207,9341]/[LCM of 964,7304]= 1/1760264

Therefore, the GCF of 4207/964,9341/7304 is 1/1760264.

Greatest Common Factor of 4207,9341

To find the highest common factor of 4207,9341, we have to find the factors of both numbers and list the highest common factor.

The factors of 4207 are 1, 7, 601, 4207

The factors of 9341 are 1, 9341

The HCF of 4207,9341 is 1.

Lets's calculate GCF of 4207,9341

Greatest Common Factor (GCF) of 4207,9341 By Common Division

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

Greatest Common Factor of 4207,9341 By Matching Biggest Common Factor Method

Now, list down the factors of 4207

1,7,601,4207

Now, list down the factors of 9341

1,9341

Greatest Common Factor

We found the factors 4207,9341 . The biggest common factor number is the GCF number.
So the greatest common factor 4207,9341 is 1.

Lets's calculate LCM of 964,7304

Lowest Common Multiple of 964,7304 using Common Division

2	964, 7304
2	482, 3652
	241, 1826

∴ So the LCM of the given numbers is 2 x 2 x 241 x 1826 = 1760264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1760264

Therefore, the GCF of Fractions 4207/964,9341/7304 is 1/1760264

Least Common Multiple of 964,7304 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 964,7304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,7304) = 4

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

GCF(964,7304) x common factors =4 x 1 = 4

LCM(964,7304) = ( 964 × 7304 ) / 4

LCM(964,7304) = 7041056 / 4

LCM(964,7304) = 1760264

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4207/964, 9341/7304

1. What is the HCF of 4207,9341?

The HCF of 4207,9341 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 4207/964, 9341/7304?

Answer: GCF of Numerators as per given numbers 4207/964, 9341/7304 is

GCF of Numerators i.e. for 4207,9341 is 1

LCM of denominators i.e. for 964,7304 is 1760264.

Thus, GCF of Fractions is 1/1760264.Finally, GCF of Fractions for 4207/964, 9341/7304 is 1/1760264.