How to Find GCF of 5748/151, 4828/706?

GCF of 5748/151, 4828/706

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 5748/151, 4828/706 i.e 4/106606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5748/151, 4828/706.

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 5748/151,4828/706?

Given fractions are 5748/151,4828/706

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 5748/151,4828/706, numerators are 5748,4828

Denominators are 151,706

The GCF of 5748,4828 is 4 .

LCM of 151,706 is 106606.

The greatest common factor of 5748/151,4828/706 = [GCF of 5748,4828]/[LCM of 151,706]= 4/106606

Therefore, the GCF of 5748/151,4828/706 is 4/106606.

Greatest Common Factor of 5748,4828

To find the highest common factor of 5748,4828, we have to find the factors of both numbers and list the highest common factor.

The factors of 5748 are 1, 2, 3, 4, 6, 12, 479, 958, 1437, 1916, 2874, 5748

The factors of 4828 are 1, 2, 4, 17, 34, 68, 71, 142, 284, 1207, 2414, 4828

The HCF of 5748,4828 is 4.

Lets's calculate GCF of 5748,4828

Greatest Common Factor (GCF) of 5748,4828 By Common Division

2	5748, 4828
2	2874, 2414
	1437, 1207

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5748,4828 By Matching Biggest Common Factor Method

Now, list down the factors of 5748

1,2,3,4,6,12,479,958,1437,1916,2874,5748

Now, list down the factors of 4828

1,2,4,17,34,68,71,142,284,1207,2414,4828

Greatest Common Factor

We found the factors 5748,4828 . The biggest common factor number is the GCF number.
So the greatest common factor 5748,4828 is 4.

Lets's calculate LCM of 151,706

Lowest Common Multiple of 151,706 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 106606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/106606

Therefore, the GCF of Fractions 5748/151,4828/706 is 4/106606

Least Common Multiple of 151,706 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 151,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,706) = 1

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

GCF(151,706) x common factors =1 x 1 = 1

LCM(151,706) = ( 151 × 706 ) / 1

LCM(151,706) = 106606 / 1

LCM(151,706) = 106606

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FAQs on GCF of Fractions of 5748/151, 4828/706

1. What is the HCF of 5748,4828?

The HCF of 5748,4828 is 4

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 5748/151, 4828/706?

Answer: GCF of Numerators as per given numbers 5748/151, 4828/706 is

GCF of Numerators i.e. for 5748,4828 is 4

LCM of denominators i.e. for 151,706 is 106606.

Thus, GCF of Fractions is 4/106606.Finally, GCF of Fractions for 5748/151, 4828/706 is 4/106606.