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GCF of 460/955, 780/308

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 460/955, 780/308 i.e 20/294140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 460/955, 780/308.

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 460/955,780/308?

Given fractions are 460/955,780/308

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 460/955,780/308, numerators are 460,780

Denominators are 955,308

The GCF of 460,780 is 20 .

LCM of 955,308 is 294140.

The greatest common factor of 460/955,780/308 = [GCF of 460,780]/[LCM of 955,308]= 20/294140

Therefore, the GCF of 460/955,780/308 is 20/294140.

Greatest Common Factor of 460,780

To find the highest common factor of 460,780, we have to find the factors of both numbers and list the highest common factor.

The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

The HCF of 460,780 is 20.

Lets's calculate GCF of 460,780

Greatest Common Factor (GCF) of 460,780 By Common Division

2 460, 780
2 230, 390
5 115, 195
23, 39

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 460,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,780 By Matching Biggest Common Factor Method

Now, list down the factors of 460

:

1,2,4,5,10,20,23,46,92,115,230,460

Now, list down the factors of 780

:

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 460,780 . The biggest common factor number is the GCF number.
So the greatest common factor 460,780 is 20.


Lets's calculate LCM of 955,308

Lowest Common Multiple of 955,308 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 294140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/294140

Therefore, the GCF of Fractions 460/955,780/308 is 20/294140

Least Common Multiple of 955,308 with GCF Formula

Least Common Multiple of 955,308 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 955,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,308) = 1

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

GCF(955,308) x common factors =1 x 1 = 1

LCM(955,308) = ( 955 × 308 ) / 1

LCM(955,308) = 294140 / 1

LCM(955,308) = 294140


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 460/955, 780/308

1. What is the HCF of 460,780?

The HCF of 460,780 is 20

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 460/955, 780/308?

Answer: GCF of Numerators as per given numbers 460/955, 780/308 is

GCF of Numerators i.e. for 460,780 is 20

LCM of denominators i.e. for 955,308 is 294140.

Thus, GCF of Fractions is 20/294140.Finally, GCF of Fractions for 460/955, 780/308 is 20/294140.