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GCF of 1772/279, 7884/2022

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 1772/279, 7884/2022 i.e 4/188046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1772/279, 7884/2022.

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 1772/279,7884/2022?

Given fractions are 1772/279,7884/2022

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 1772/279,7884/2022, numerators are 1772,7884

Denominators are 279,2022

The GCF of 1772,7884 is 4 .

LCM of 279,2022 is 188046.

The greatest common factor of 1772/279,7884/2022 = [GCF of 1772,7884]/[LCM of 279,2022]= 4/188046

Therefore, the GCF of 1772/279,7884/2022 is 4/188046.

Greatest Common Factor of 1772,7884

To find the highest common factor of 1772,7884, we have to find the factors of both numbers and list the highest common factor.

The factors of 1772 are 1, 2, 4, 443, 886, 1772

The factors of 7884 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 108, 146, 219, 292, 438, 657, 876, 1314, 1971, 2628, 3942, 7884

The HCF of 1772,7884 is 4.

Lets's calculate GCF of 1772,7884

Greatest Common Factor (GCF) of 1772,7884 By Common Division

2 1772, 7884
2 886, 3942
443, 1971

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1772,7884 By Matching Biggest Common Factor Method

Greatest Common Factor of 1772,7884 By Matching Biggest Common Factor Method

Now, list down the factors of 1772

:

1,2,4,443,886,1772

Now, list down the factors of 7884

:

1,2,3,4,6,9,12,18,27,36,54,73,108,146,219,292,438,657,876,1314,1971,2628,3942,7884

Greatest Common Factor

We found the factors 1772,7884 . The biggest common factor number is the GCF number.
So the greatest common factor 1772,7884 is 4.


Lets's calculate LCM of 279,2022

Lowest Common Multiple of 279,2022 using Common Division

3 279, 2022
93, 674

∴ So the LCM of the given numbers is 3 x 93 x 674 = 188046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/188046

Therefore, the GCF of Fractions 1772/279,7884/2022 is 4/188046

Least Common Multiple of 279,2022 with GCF Formula

Least Common Multiple of 279,2022 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 279,2022 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,2022) = 3

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

GCF(279,2022) x common factors =3 x 1 = 3

LCM(279,2022) = ( 279 × 2022 ) / 3

LCM(279,2022) = 564138 / 3

LCM(279,2022) = 188046


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1772/279, 7884/2022

1. What is the HCF of 1772,7884?

The HCF of 1772,7884 is 4

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 1772/279, 7884/2022?

Answer: GCF of Numerators as per given numbers 1772/279, 7884/2022 is

GCF of Numerators i.e. for 1772,7884 is 4

LCM of denominators i.e. for 279,2022 is 188046.

Thus, GCF of Fractions is 4/188046.Finally, GCF of Fractions for 1772/279, 7884/2022 is 4/188046.