How to Find GCF of 855/625, 510/978?

GCF of 855/625, 510/978

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 855/625, 510/978 i.e 15/611250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 855/625, 510/978.

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 855/625,510/978?

Given fractions are 855/625,510/978

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 855/625,510/978, numerators are 855,510

Denominators are 625,978

The GCF of 855,510 is 15 .

LCM of 625,978 is 611250.

The greatest common factor of 855/625,510/978 = [GCF of 855,510]/[LCM of 625,978]= 15/611250

Therefore, the GCF of 855/625,510/978 is 15/611250.

Greatest Common Factor of 855,510

To find the highest common factor of 855,510, we have to find the factors of both numbers and list the highest common factor.

The factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

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

The HCF of 855,510 is 15.

Lets's calculate GCF of 855,510

Greatest Common Factor (GCF) of 855,510 By Common Division

3	855, 510
5	285, 170
	57, 34

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 855,510 By Matching Biggest Common Factor Method

Now, list down the factors of 855

1,3,5,9,15,19,45,57,95,171,285,855

Now, list down the factors of 510

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

Greatest Common Factor

We found the factors 855,510 . The biggest common factor number is the GCF number.
So the greatest common factor 855,510 is 15.

Lets's calculate LCM of 625,978

Lowest Common Multiple of 625,978 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 611250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/611250

Therefore, the GCF of Fractions 855/625,510/978 is 15/611250

Least Common Multiple of 625,978 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 625,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,978) = 1

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

GCF(625,978) x common factors =1 x 1 = 1

LCM(625,978) = ( 625 × 978 ) / 1

LCM(625,978) = 611250 / 1

LCM(625,978) = 611250

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 855/625, 510/978

1. What is the HCF of 855,510?

The HCF of 855,510 is 15

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 855/625, 510/978?

Answer: GCF of Numerators as per given numbers 855/625, 510/978 is

GCF of Numerators i.e. for 855,510 is 15

LCM of denominators i.e. for 625,978 is 611250.

Thus, GCF of Fractions is 15/611250.Finally, GCF of Fractions for 855/625, 510/978 is 15/611250.