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GCF of 812/18, 607/7860

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 812/18, 607/7860 i.e 1/23580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 812/18, 607/7860.

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 812/18,607/7860?

Given fractions are 812/18,607/7860

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 812/18,607/7860, numerators are 812,607

Denominators are 18,7860

The GCF of 812,607 is 1 .

LCM of 18,7860 is 23580.

The greatest common factor of 812/18,607/7860 = [GCF of 812,607]/[LCM of 18,7860]= 1/23580

Therefore, the GCF of 812/18,607/7860 is 1/23580.

Greatest Common Factor of 812,607

To find the highest common factor of 812,607, we have to find the factors of both numbers and list the highest common factor.

The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

The factors of 607 are 1, 607

The HCF of 812,607 is 1.

Lets's calculate GCF of 812,607

Greatest Common Factor (GCF) of 812,607 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 812,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,607 By Matching Biggest Common Factor Method

Now, list down the factors of 812

:

1,2,4,7,14,28,29,58,116,203,406,812

Now, list down the factors of 607

:

1,607

Greatest Common Factor

We found the factors 812,607 . The biggest common factor number is the GCF number.
So the greatest common factor 812,607 is 1.

Lets's calculate LCM of 18,7860

Lowest Common Multiple of 18,7860 using Common Division

2 18, 7860
3 9, 3930
3, 1310

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1310 = 23580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23580

Therefore, the GCF of Fractions 812/18,607/7860 is 1/23580

Least Common Multiple of 18,7860 with GCF Formula

Least Common Multiple of 18,7860 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 18,7860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,7860) = 6

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

GCF(18,7860) x common factors =6 x 1 = 6

LCM(18,7860) = ( 18 × 7860 ) / 6

LCM(18,7860) = 141480 / 6

LCM(18,7860) = 23580


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 812/18, 607/7860

1. What is the HCF of 812,607?

The HCF of 812,607 is 1

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 812/18, 607/7860?

Answer: GCF of Numerators as per given numbers 812/18, 607/7860 is

GCF of Numerators i.e. for 812,607 is 1

LCM of denominators i.e. for 18,7860 is 23580.

Thus, GCF of Fractions is 1/23580.Finally, GCF of Fractions for 812/18, 607/7860 is 1/23580.