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GCF of 9173/847, 2803/350

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 9173/847, 2803/350 i.e 1/42350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9173/847, 2803/350.

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 9173/847,2803/350?

Given fractions are 9173/847,2803/350

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 9173/847,2803/350, numerators are 9173,2803

Denominators are 847,350

The GCF of 9173,2803 is 1 .

LCM of 847,350 is 42350.

The greatest common factor of 9173/847,2803/350 = [GCF of 9173,2803]/[LCM of 847,350]= 1/42350

Therefore, the GCF of 9173/847,2803/350 is 1/42350.

Greatest Common Factor of 9173,2803

To find the highest common factor of 9173,2803, we have to find the factors of both numbers and list the highest common factor.

The factors of 9173 are 1, 9173

The factors of 2803 are 1, 2803

The HCF of 9173,2803 is 1.

Lets's calculate GCF of 9173,2803

Greatest Common Factor (GCF) of 9173,2803 By Common Division

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

Greatest Common Factor of 9173,2803 By Matching Biggest Common Factor Method

Greatest Common Factor of 9173,2803 By Matching Biggest Common Factor Method

Now, list down the factors of 9173

:

1,9173

Now, list down the factors of 2803

:

1,2803

Greatest Common Factor

We found the factors 9173,2803 . The biggest common factor number is the GCF number.
So the greatest common factor 9173,2803 is 1.

Lets's calculate LCM of 847,350

Lowest Common Multiple of 847,350 using Common Division

7 847, 350
121, 50

∴ So the LCM of the given numbers is 7 x 121 x 50 = 42350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42350

Therefore, the GCF of Fractions 9173/847,2803/350 is 1/42350

Least Common Multiple of 847,350 with GCF Formula

Least Common Multiple of 847,350 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 847,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(847,350) = 7

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

GCF(847,350) x common factors =7 x 1 = 7

LCM(847,350) = ( 847 × 350 ) / 7

LCM(847,350) = 296450 / 7

LCM(847,350) = 42350


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FAQs on GCF of Fractions of 9173/847, 2803/350

1. What is the HCF of 9173,2803?

The HCF of 9173,2803 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 9173/847, 2803/350?

Answer: GCF of Numerators as per given numbers 9173/847, 2803/350 is

GCF of Numerators i.e. for 9173,2803 is 1

LCM of denominators i.e. for 847,350 is 42350.

Thus, GCF of Fractions is 1/42350.Finally, GCF of Fractions for 9173/847, 2803/350 is 1/42350.