How to Find GCF of 9964/640, 4340/2234?

GCF of 9964/640, 4340/2234

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 9964/640, 4340/2234 i.e 4/714880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9964/640, 4340/2234.

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 9964/640,4340/2234?

Given fractions are 9964/640,4340/2234

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 9964/640,4340/2234, numerators are 9964,4340

Denominators are 640,2234

The GCF of 9964,4340 is 4 .

LCM of 640,2234 is 714880.

The greatest common factor of 9964/640,4340/2234 = [GCF of 9964,4340]/[LCM of 640,2234]= 4/714880

Therefore, the GCF of 9964/640,4340/2234 is 4/714880.

Greatest Common Factor of 9964,4340

To find the highest common factor of 9964,4340, we have to find the factors of both numbers and list the highest common factor.

The factors of 9964 are 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964

The factors of 4340 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170, 4340

The HCF of 9964,4340 is 4.

Lets's calculate GCF of 9964,4340

Greatest Common Factor (GCF) of 9964,4340 By Common Division

2	9964, 4340
2	4982, 2170
	2491, 1085

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

Greatest Common Factor of 9964,4340 By Matching Biggest Common Factor Method

Now, list down the factors of 9964

1,2,4,47,53,94,106,188,212,2491,4982,9964

Now, list down the factors of 4340

1,2,4,5,7,10,14,20,28,31,35,62,70,124,140,155,217,310,434,620,868,1085,2170,4340

Greatest Common Factor

We found the factors 9964,4340 . The biggest common factor number is the GCF number.
So the greatest common factor 9964,4340 is 4.

Lets's calculate LCM of 640,2234

Lowest Common Multiple of 640,2234 using Common Division

2	640, 2234
	320, 1117

∴ So the LCM of the given numbers is 2 x 320 x 1117 = 714880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/714880

Therefore, the GCF of Fractions 9964/640,4340/2234 is 4/714880

Least Common Multiple of 640,2234 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 640,2234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,2234) = 2

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

GCF(640,2234) x common factors =2 x 1 = 2

LCM(640,2234) = ( 640 × 2234 ) / 2

LCM(640,2234) = 1429760 / 2

LCM(640,2234) = 714880

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FAQs on GCF of Fractions of 9964/640, 4340/2234

1. What is the HCF of 9964,4340?

The HCF of 9964,4340 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 9964/640, 4340/2234?

Answer: GCF of Numerators as per given numbers 9964/640, 4340/2234 is

GCF of Numerators i.e. for 9964,4340 is 4

LCM of denominators i.e. for 640,2234 is 714880.

Thus, GCF of Fractions is 4/714880.Finally, GCF of Fractions for 9964/640, 4340/2234 is 4/714880.