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GCF of 827/780, 2074/554

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 827/780, 2074/554 i.e 1/216060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 827/780, 2074/554.

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 827/780,2074/554?

Given fractions are 827/780,2074/554

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 827/780,2074/554, numerators are 827,2074

Denominators are 780,554

The GCF of 827,2074 is 1 .

LCM of 780,554 is 216060.

The greatest common factor of 827/780,2074/554 = [GCF of 827,2074]/[LCM of 780,554]= 1/216060

Therefore, the GCF of 827/780,2074/554 is 1/216060.

Greatest Common Factor of 827,2074

To find the highest common factor of 827,2074, we have to find the factors of both numbers and list the highest common factor.

The factors of 827 are 1, 827

The factors of 2074 are 1, 2, 17, 34, 61, 122, 1037, 2074

The HCF of 827,2074 is 1.

Lets's calculate GCF of 827,2074

Greatest Common Factor (GCF) of 827,2074 By Common Division

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

Greatest Common Factor of 827,2074 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,2074 By Matching Biggest Common Factor Method

Now, list down the factors of 827

:

1,827

Now, list down the factors of 2074

:

1,2,17,34,61,122,1037,2074

Greatest Common Factor

We found the factors 827,2074 . The biggest common factor number is the GCF number.
So the greatest common factor 827,2074 is 1.

Lets's calculate LCM of 780,554

Lowest Common Multiple of 780,554 using Common Division

2 780, 554
390, 277

∴ So the LCM of the given numbers is 2 x 390 x 277 = 216060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216060

Therefore, the GCF of Fractions 827/780,2074/554 is 1/216060

Least Common Multiple of 780,554 with GCF Formula

Least Common Multiple of 780,554 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 780,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,554) = 2

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

GCF(780,554) x common factors =2 x 1 = 2

LCM(780,554) = ( 780 × 554 ) / 2

LCM(780,554) = 432120 / 2

LCM(780,554) = 216060


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FAQs on GCF of Fractions of 827/780, 2074/554

1. What is the HCF of 827,2074?

The HCF of 827,2074 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 827/780, 2074/554?

Answer: GCF of Numerators as per given numbers 827/780, 2074/554 is

GCF of Numerators i.e. for 827,2074 is 1

LCM of denominators i.e. for 780,554 is 216060.

Thus, GCF of Fractions is 1/216060.Finally, GCF of Fractions for 827/780, 2074/554 is 1/216060.