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GCF of 530/812, 145/265

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 530/812, 145/265 i.e 5/215180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 530/812, 145/265.

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 530/812,145/265?

Given fractions are 530/812,145/265

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 530/812,145/265, numerators are 530,145

Denominators are 812,265

The GCF of 530,145 is 5 .

LCM of 812,265 is 215180.

The greatest common factor of 530/812,145/265 = [GCF of 530,145]/[LCM of 812,265]= 5/215180

Therefore, the GCF of 530/812,145/265 is 5/215180.

Greatest Common Factor of 530,145

To find the highest common factor of 530,145, we have to find the factors of both numbers and list the highest common factor.

The factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530

The factors of 145 are 1, 5, 29, 145

The HCF of 530,145 is 5.

Lets's calculate GCF of 530,145

Greatest Common Factor (GCF) of 530,145 By Common Division

5 530, 145
106, 29

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

Greatest Common Factor of 530,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,145 By Matching Biggest Common Factor Method

Now, list down the factors of 530

:

1,2,5,10,53,106,265,530

Now, list down the factors of 145

:

1,5,29,145

Greatest Common Factor

We found the factors 530,145 . The biggest common factor number is the GCF number.
So the greatest common factor 530,145 is 5.


Lets's calculate LCM of 812,265

Lowest Common Multiple of 812,265 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 215180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/215180

Therefore, the GCF of Fractions 530/812,145/265 is 5/215180

Least Common Multiple of 812,265 with GCF Formula

Least Common Multiple of 812,265 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 812,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,265) = 1

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

GCF(812,265) x common factors =1 x 1 = 1

LCM(812,265) = ( 812 × 265 ) / 1

LCM(812,265) = 215180 / 1

LCM(812,265) = 215180


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 530/812, 145/265

1. What is the HCF of 530,145?

The HCF of 530,145 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 530/812, 145/265?

Answer: GCF of Numerators as per given numbers 530/812, 145/265 is

GCF of Numerators i.e. for 530,145 is 5

LCM of denominators i.e. for 812,265 is 215180.

Thus, GCF of Fractions is 5/215180.Finally, GCF of Fractions for 530/812, 145/265 is 5/215180.