How to Find GCF of 284/692, 3880/648?

GCF of 284/692, 3880/648

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 284/692, 3880/648 i.e 4/112104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 284/692, 3880/648.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 284/692,3880/648?

Given fractions are 284/692,3880/648

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 284/692,3880/648, numerators are 284,3880

Denominators are 692,648

The GCF of 284,3880 is 4 .

LCM of 692,648 is 112104.

The greatest common factor of 284/692,3880/648 = [GCF of 284,3880]/[LCM of 692,648]= 4/112104

Therefore, the GCF of 284/692,3880/648 is 4/112104.

Greatest Common Factor of 284,3880

To find the highest common factor of 284,3880, we have to find the factors of both numbers and list the highest common factor.

The factors of 284 are 1, 2, 4, 71, 142, 284

The factors of 3880 are 1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940, 3880

The HCF of 284,3880 is 4.

Lets's calculate GCF of 284,3880

Greatest Common Factor (GCF) of 284,3880 By Common Division

2	284, 3880
2	142, 1940
	71, 970

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

Greatest Common Factor of 284,3880 By Matching Biggest Common Factor Method

Now, list down the factors of 284

1,2,4,71,142,284

Now, list down the factors of 3880

1,2,4,5,8,10,20,40,97,194,388,485,776,970,1940,3880

Greatest Common Factor

We found the factors 284,3880 . The biggest common factor number is the GCF number.
So the greatest common factor 284,3880 is 4.

Lets's calculate LCM of 692,648

Lowest Common Multiple of 692,648 using Common Division

2	692, 648
2	346, 324
	173, 162

∴ So the LCM of the given numbers is 2 x 2 x 173 x 162 = 112104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/112104

Therefore, the GCF of Fractions 284/692,3880/648 is 4/112104

Least Common Multiple of 692,648 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 692,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,648) = 4

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

GCF(692,648) x common factors =4 x 1 = 4

LCM(692,648) = ( 692 × 648 ) / 4

LCM(692,648) = 448416 / 4

LCM(692,648) = 112104

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FAQs on GCF of Fractions of 284/692, 3880/648

1. What is the HCF of 284,3880?

The HCF of 284,3880 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 284/692, 3880/648?

Answer: GCF of Numerators as per given numbers 284/692, 3880/648 is

GCF of Numerators i.e. for 284,3880 is 4

LCM of denominators i.e. for 692,648 is 112104.

Thus, GCF of Fractions is 4/112104.Finally, GCF of Fractions for 284/692, 3880/648 is 4/112104.