How to Find GCF of 4750/547, 9334/8552?

GCF of 4750/547, 9334/8552

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 4750/547, 9334/8552 i.e 2/4677944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4750/547, 9334/8552.

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 4750/547,9334/8552?

Given fractions are 4750/547,9334/8552

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 4750/547,9334/8552, numerators are 4750,9334

Denominators are 547,8552

The GCF of 4750,9334 is 2 .

LCM of 547,8552 is 4677944.

The greatest common factor of 4750/547,9334/8552 = [GCF of 4750,9334]/[LCM of 547,8552]= 2/4677944

Therefore, the GCF of 4750/547,9334/8552 is 2/4677944.

Greatest Common Factor of 4750,9334

To find the highest common factor of 4750,9334, we have to find the factors of both numbers and list the highest common factor.

The factors of 4750 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 125, 190, 250, 475, 950, 2375, 4750

The factors of 9334 are 1, 2, 13, 26, 359, 718, 4667, 9334

The HCF of 4750,9334 is 2.

Lets's calculate GCF of 4750,9334

Greatest Common Factor (GCF) of 4750,9334 By Common Division

2	4750, 9334
	2375, 4667

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4750,9334 By Matching Biggest Common Factor Method

Now, list down the factors of 4750

1,2,5,10,19,25,38,50,95,125,190,250,475,950,2375,4750

Now, list down the factors of 9334

1,2,13,26,359,718,4667,9334

Greatest Common Factor

We found the factors 4750,9334 . The biggest common factor number is the GCF number.
So the greatest common factor 4750,9334 is 2.

Lets's calculate LCM of 547,8552

Lowest Common Multiple of 547,8552 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4677944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4677944

Therefore, the GCF of Fractions 4750/547,9334/8552 is 2/4677944

Least Common Multiple of 547,8552 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 547,8552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(547,8552) = 1

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

GCF(547,8552) x common factors =1 x 1 = 1

LCM(547,8552) = ( 547 × 8552 ) / 1

LCM(547,8552) = 4677944 / 1

LCM(547,8552) = 4677944

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FAQs on GCF of Fractions of 4750/547, 9334/8552

1. What is the HCF of 4750,9334?

The HCF of 4750,9334 is 2

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 4750/547, 9334/8552?

Answer: GCF of Numerators as per given numbers 4750/547, 9334/8552 is

GCF of Numerators i.e. for 4750,9334 is 2

LCM of denominators i.e. for 547,8552 is 4677944.

Thus, GCF of Fractions is 2/4677944.Finally, GCF of Fractions for 4750/547, 9334/8552 is 2/4677944.