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GCF of 2692/820, 8788/8552

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 2692/820, 8788/8552 i.e 4/1753160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2692/820, 8788/8552.

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 2692/820,8788/8552?

Given fractions are 2692/820,8788/8552

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 2692/820,8788/8552, numerators are 2692,8788

Denominators are 820,8552

The GCF of 2692,8788 is 4 .

LCM of 820,8552 is 1753160.

The greatest common factor of 2692/820,8788/8552 = [GCF of 2692,8788]/[LCM of 820,8552]= 4/1753160

Therefore, the GCF of 2692/820,8788/8552 is 4/1753160.

Greatest Common Factor of 2692,8788

To find the highest common factor of 2692,8788, we have to find the factors of both numbers and list the highest common factor.

The factors of 2692 are 1, 2, 4, 673, 1346, 2692

The factors of 8788 are 1, 2, 4, 13, 26, 52, 169, 338, 676, 2197, 4394, 8788

The HCF of 2692,8788 is 4.

Lets's calculate GCF of 2692,8788

Greatest Common Factor (GCF) of 2692,8788 By Common Division

2 2692, 8788
2 1346, 4394
673, 2197

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

Greatest Common Factor of 2692,8788 By Matching Biggest Common Factor Method

Greatest Common Factor of 2692,8788 By Matching Biggest Common Factor Method

Now, list down the factors of 2692

:

1,2,4,673,1346,2692

Now, list down the factors of 8788

:

1,2,4,13,26,52,169,338,676,2197,4394,8788

Greatest Common Factor

We found the factors 2692,8788 . The biggest common factor number is the GCF number.
So the greatest common factor 2692,8788 is 4.


Lets's calculate LCM of 820,8552

Lowest Common Multiple of 820,8552 using Common Division

2 820, 8552
2 410, 4276
205, 2138

∴ So the LCM of the given numbers is 2 x 2 x 205 x 2138 = 1753160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1753160

Therefore, the GCF of Fractions 2692/820,8788/8552 is 4/1753160

Least Common Multiple of 820,8552 with GCF Formula

Least Common Multiple of 820,8552 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 820,8552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,8552) = 4

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

GCF(820,8552) x common factors =4 x 1 = 4

LCM(820,8552) = ( 820 × 8552 ) / 4

LCM(820,8552) = 7012640 / 4

LCM(820,8552) = 1753160


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2692/820, 8788/8552

1. What is the HCF of 2692,8788?

The HCF of 2692,8788 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 2692/820, 8788/8552?

Answer: GCF of Numerators as per given numbers 2692/820, 8788/8552 is

GCF of Numerators i.e. for 2692,8788 is 4

LCM of denominators i.e. for 820,8552 is 1753160.

Thus, GCF of Fractions is 4/1753160.Finally, GCF of Fractions for 2692/820, 8788/8552 is 4/1753160.