How to Find GCF of 884/41, 630/436?

GCF of 884/41, 630/436

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 884/41, 630/436 i.e 2/17876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/41, 630/436.

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 884/41,630/436?

Given fractions are 884/41,630/436

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 884/41,630/436, numerators are 884,630

Denominators are 41,436

The GCF of 884,630 is 2 .

LCM of 41,436 is 17876.

The greatest common factor of 884/41,630/436 = [GCF of 884,630]/[LCM of 41,436]= 2/17876

Therefore, the GCF of 884/41,630/436 is 2/17876.

Greatest Common Factor of 884,630

To find the highest common factor of 884,630, we have to find the factors of both numbers and list the highest common factor.

The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

The HCF of 884,630 is 2.

Lets's calculate GCF of 884,630

Greatest Common Factor (GCF) of 884,630 By Common Division

2	884, 630
	442, 315

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

Greatest Common Factor of 884,630 By Matching Biggest Common Factor Method

Now, list down the factors of 884

1,2,4,13,17,26,34,52,68,221,442,884

Now, list down the factors of 630

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 884,630 . The biggest common factor number is the GCF number.
So the greatest common factor 884,630 is 2.

Lets's calculate LCM of 41,436

Lowest Common Multiple of 41,436 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 17876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17876

Therefore, the GCF of Fractions 884/41,630/436 is 2/17876

Least Common Multiple of 41,436 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 41,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,436) = 1

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

GCF(41,436) x common factors =1 x 1 = 1

LCM(41,436) = ( 41 × 436 ) / 1

LCM(41,436) = 17876 / 1

LCM(41,436) = 17876

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FAQs on GCF of Fractions of 884/41, 630/436

1. What is the HCF of 884,630?

The HCF of 884,630 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 884/41, 630/436?

Answer: GCF of Numerators as per given numbers 884/41, 630/436 is

GCF of Numerators i.e. for 884,630 is 2

LCM of denominators i.e. for 41,436 is 17876.

Thus, GCF of Fractions is 2/17876.Finally, GCF of Fractions for 884/41, 630/436 is 2/17876.