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GCF of 2175/878, 8260/483

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 2175/878, 8260/483 i.e 5/424074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2175/878, 8260/483.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2175/878,8260/483?

Given fractions are 2175/878,8260/483

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 2175/878,8260/483, numerators are 2175,8260

Denominators are 878,483

The GCF of 2175,8260 is 5 .

LCM of 878,483 is 424074.

The greatest common factor of 2175/878,8260/483 = [GCF of 2175,8260]/[LCM of 878,483]= 5/424074

Therefore, the GCF of 2175/878,8260/483 is 5/424074.

Greatest Common Factor of 2175,8260

To find the highest common factor of 2175,8260, we have to find the factors of both numbers and list the highest common factor.

The factors of 2175 are 1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, 2175

The factors of 8260 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130, 8260

The HCF of 2175,8260 is 5.

Lets's calculate GCF of 2175,8260

Greatest Common Factor (GCF) of 2175,8260 By Common Division

5 2175, 8260
435, 1652

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2175,8260 By Matching Biggest Common Factor Method

Greatest Common Factor of 2175,8260 By Matching Biggest Common Factor Method

Now, list down the factors of 2175

:

1,3,5,15,25,29,75,87,145,435,725,2175

Now, list down the factors of 8260

:

1,2,4,5,7,10,14,20,28,35,59,70,118,140,236,295,413,590,826,1180,1652,2065,4130,8260

Greatest Common Factor

We found the factors 2175,8260 . The biggest common factor number is the GCF number.
So the greatest common factor 2175,8260 is 5.


Lets's calculate LCM of 878,483

Lowest Common Multiple of 878,483 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 424074

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/424074

Therefore, the GCF of Fractions 2175/878,8260/483 is 5/424074

Least Common Multiple of 878,483 with GCF Formula

Least Common Multiple of 878,483 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 878,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,483) = 1

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

GCF(878,483) x common factors =1 x 1 = 1

LCM(878,483) = ( 878 × 483 ) / 1

LCM(878,483) = 424074 / 1

LCM(878,483) = 424074


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2175/878, 8260/483

1. What is the HCF of 2175,8260?

The HCF of 2175,8260 is 5

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 2175/878, 8260/483?

Answer: GCF of Numerators as per given numbers 2175/878, 8260/483 is

GCF of Numerators i.e. for 2175,8260 is 5

LCM of denominators i.e. for 878,483 is 424074.

Thus, GCF of Fractions is 5/424074.Finally, GCF of Fractions for 2175/878, 8260/483 is 5/424074.