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GCF of 7262/233, 8369/7059

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 7262/233, 8369/7059 i.e 1/1644747 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7262/233, 8369/7059.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7262/233,8369/7059?

Given fractions are 7262/233,8369/7059

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 7262/233,8369/7059, numerators are 7262,8369

Denominators are 233,7059

The GCF of 7262,8369 is 1 .

LCM of 233,7059 is 1644747.

The greatest common factor of 7262/233,8369/7059 = [GCF of 7262,8369]/[LCM of 233,7059]= 1/1644747

Therefore, the GCF of 7262/233,8369/7059 is 1/1644747.

Greatest Common Factor of 7262,8369

To find the highest common factor of 7262,8369, we have to find the factors of both numbers and list the highest common factor.

The factors of 7262 are 1, 2, 3631, 7262

The factors of 8369 are 1, 8369

The HCF of 7262,8369 is 1.

Lets's calculate GCF of 7262,8369

Greatest Common Factor (GCF) of 7262,8369 By Common Division

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

Greatest Common Factor of 7262,8369 By Matching Biggest Common Factor Method

Greatest Common Factor of 7262,8369 By Matching Biggest Common Factor Method

Now, list down the factors of 7262

:

1,2,3631,7262

Now, list down the factors of 8369

:

1,8369

Greatest Common Factor

We found the factors 7262,8369 . The biggest common factor number is the GCF number.
So the greatest common factor 7262,8369 is 1.

Lets's calculate LCM of 233,7059

Lowest Common Multiple of 233,7059 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1644747

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1644747

Therefore, the GCF of Fractions 7262/233,8369/7059 is 1/1644747

Least Common Multiple of 233,7059 with GCF Formula

Least Common Multiple of 233,7059 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 233,7059 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,7059) = 1

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

GCF(233,7059) x common factors =1 x 1 = 1

LCM(233,7059) = ( 233 × 7059 ) / 1

LCM(233,7059) = 1644747 / 1

LCM(233,7059) = 1644747


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FAQs on GCF of Fractions of 7262/233, 8369/7059

1. What is the HCF of 7262,8369?

The HCF of 7262,8369 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 7262/233, 8369/7059?

Answer: GCF of Numerators as per given numbers 7262/233, 8369/7059 is

GCF of Numerators i.e. for 7262,8369 is 1

LCM of denominators i.e. for 233,7059 is 1644747.

Thus, GCF of Fractions is 1/1644747.Finally, GCF of Fractions for 7262/233, 8369/7059 is 1/1644747.