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GCF of 5052/208, 1886/778

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 5052/208, 1886/778 i.e 2/80912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5052/208, 1886/778.

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 5052/208,1886/778?

Given fractions are 5052/208,1886/778

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 5052/208,1886/778, numerators are 5052,1886

Denominators are 208,778

The GCF of 5052,1886 is 2 .

LCM of 208,778 is 80912.

The greatest common factor of 5052/208,1886/778 = [GCF of 5052,1886]/[LCM of 208,778]= 2/80912

Therefore, the GCF of 5052/208,1886/778 is 2/80912.

Greatest Common Factor of 5052,1886

To find the highest common factor of 5052,1886, we have to find the factors of both numbers and list the highest common factor.

The factors of 5052 are 1, 2, 3, 4, 6, 12, 421, 842, 1263, 1684, 2526, 5052

The factors of 1886 are 1, 2, 23, 41, 46, 82, 943, 1886

The HCF of 5052,1886 is 2.

Lets's calculate GCF of 5052,1886

Greatest Common Factor (GCF) of 5052,1886 By Common Division

2 5052, 1886
2526, 943

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5052,1886 By Matching Biggest Common Factor Method

Greatest Common Factor of 5052,1886 By Matching Biggest Common Factor Method

Now, list down the factors of 5052

:

1,2,3,4,6,12,421,842,1263,1684,2526,5052

Now, list down the factors of 1886

:

1,2,23,41,46,82,943,1886

Greatest Common Factor

We found the factors 5052,1886 . The biggest common factor number is the GCF number.
So the greatest common factor 5052,1886 is 2.


Lets's calculate LCM of 208,778

Lowest Common Multiple of 208,778 using Common Division

2 208, 778
104, 389

∴ So the LCM of the given numbers is 2 x 104 x 389 = 80912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80912

Therefore, the GCF of Fractions 5052/208,1886/778 is 2/80912

Least Common Multiple of 208,778 with GCF Formula

Least Common Multiple of 208,778 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 208,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,778) = 2

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

GCF(208,778) x common factors =2 x 1 = 2

LCM(208,778) = ( 208 × 778 ) / 2

LCM(208,778) = 161824 / 2

LCM(208,778) = 80912


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5052/208, 1886/778

1. What is the HCF of 5052,1886?

The HCF of 5052,1886 is 2

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 5052/208, 1886/778?

Answer: GCF of Numerators as per given numbers 5052/208, 1886/778 is

GCF of Numerators i.e. for 5052,1886 is 2

LCM of denominators i.e. for 208,778 is 80912.

Thus, GCF of Fractions is 2/80912.Finally, GCF of Fractions for 5052/208, 1886/778 is 2/80912.