How to Find GCF of 5680/794, 5198/7239?

GCF of 5680/794, 5198/7239

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 5680/794, 5198/7239 i.e 2/5747766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5680/794, 5198/7239.

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 5680/794,5198/7239?

Given fractions are 5680/794,5198/7239

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 5680/794,5198/7239, numerators are 5680,5198

Denominators are 794,7239

The GCF of 5680,5198 is 2 .

LCM of 794,7239 is 5747766.

The greatest common factor of 5680/794,5198/7239 = [GCF of 5680,5198]/[LCM of 794,7239]= 2/5747766

Therefore, the GCF of 5680/794,5198/7239 is 2/5747766.

Greatest Common Factor of 5680,5198

To find the highest common factor of 5680,5198, we have to find the factors of both numbers and list the highest common factor.

The factors of 5680 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 71, 80, 142, 284, 355, 568, 710, 1136, 1420, 2840, 5680

The factors of 5198 are 1, 2, 23, 46, 113, 226, 2599, 5198

The HCF of 5680,5198 is 2.

Lets's calculate GCF of 5680,5198

Greatest Common Factor (GCF) of 5680,5198 By Common Division

2	5680, 5198
	2840, 2599

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

Greatest Common Factor of 5680,5198 By Matching Biggest Common Factor Method

Now, list down the factors of 5680

1,2,4,5,8,10,16,20,40,71,80,142,284,355,568,710,1136,1420,2840,5680

Now, list down the factors of 5198

1,2,23,46,113,226,2599,5198

Greatest Common Factor

We found the factors 5680,5198 . The biggest common factor number is the GCF number.
So the greatest common factor 5680,5198 is 2.

Lets's calculate LCM of 794,7239

Lowest Common Multiple of 794,7239 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5747766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5747766

Therefore, the GCF of Fractions 5680/794,5198/7239 is 2/5747766

Least Common Multiple of 794,7239 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 794,7239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,7239) = 1

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

GCF(794,7239) x common factors =1 x 1 = 1

LCM(794,7239) = ( 794 × 7239 ) / 1

LCM(794,7239) = 5747766 / 1

LCM(794,7239) = 5747766

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FAQs on GCF of Fractions of 5680/794, 5198/7239

1. What is the HCF of 5680,5198?

The HCF of 5680,5198 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 5680/794, 5198/7239?

Answer: GCF of Numerators as per given numbers 5680/794, 5198/7239 is

GCF of Numerators i.e. for 5680,5198 is 2

LCM of denominators i.e. for 794,7239 is 5747766.

Thus, GCF of Fractions is 2/5747766.Finally, GCF of Fractions for 5680/794, 5198/7239 is 2/5747766.