How to Find GCF of 510/859, 726/370?

GCF of 510/859, 726/370

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 510/859, 726/370 i.e 6/317830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 510/859, 726/370.

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 510/859,726/370?

Given fractions are 510/859,726/370

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 510/859,726/370, numerators are 510,726

Denominators are 859,370

The GCF of 510,726 is 6 .

LCM of 859,370 is 317830.

The greatest common factor of 510/859,726/370 = [GCF of 510,726]/[LCM of 859,370]= 6/317830

Therefore, the GCF of 510/859,726/370 is 6/317830.

Greatest Common Factor of 510,726

To find the highest common factor of 510,726, we have to find the factors of both numbers and list the highest common factor.

The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

The HCF of 510,726 is 6.

Lets's calculate GCF of 510,726

Greatest Common Factor (GCF) of 510,726 By Common Division

2	510, 726
3	255, 363
	85, 121

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 510,726 By Matching Biggest Common Factor Method

Now, list down the factors of 510

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Now, list down the factors of 726

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 510,726 . The biggest common factor number is the GCF number.
So the greatest common factor 510,726 is 6.

Lets's calculate LCM of 859,370

Lowest Common Multiple of 859,370 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 317830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/317830

Therefore, the GCF of Fractions 510/859,726/370 is 6/317830

Least Common Multiple of 859,370 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 859,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(859,370) = 1

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

GCF(859,370) x common factors =1 x 1 = 1

LCM(859,370) = ( 859 × 370 ) / 1

LCM(859,370) = 317830 / 1

LCM(859,370) = 317830

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 510/859, 726/370

1. What is the HCF of 510,726?

The HCF of 510,726 is 6

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 510/859, 726/370?

Answer: GCF of Numerators as per given numbers 510/859, 726/370 is

GCF of Numerators i.e. for 510,726 is 6

LCM of denominators i.e. for 859,370 is 317830.

Thus, GCF of Fractions is 6/317830.Finally, GCF of Fractions for 510/859, 726/370 is 6/317830.