How to Find GCF of 9374/160, 9954/676?

GCF of 9374/160, 9954/676

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 9374/160, 9954/676 i.e 2/27040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9374/160, 9954/676.

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 9374/160,9954/676?

Given fractions are 9374/160,9954/676

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 9374/160,9954/676, numerators are 9374,9954

Denominators are 160,676

The GCF of 9374,9954 is 2 .

LCM of 160,676 is 27040.

The greatest common factor of 9374/160,9954/676 = [GCF of 9374,9954]/[LCM of 160,676]= 2/27040

Therefore, the GCF of 9374/160,9954/676 is 2/27040.

Greatest Common Factor of 9374,9954

To find the highest common factor of 9374,9954, we have to find the factors of both numbers and list the highest common factor.

The factors of 9374 are 1, 2, 43, 86, 109, 218, 4687, 9374

The factors of 9954 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474, 553, 711, 1106, 1422, 1659, 3318, 4977, 9954

The HCF of 9374,9954 is 2.

Lets's calculate GCF of 9374,9954

Greatest Common Factor (GCF) of 9374,9954 By Common Division

2	9374, 9954
	4687, 4977

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

Greatest Common Factor of 9374,9954 By Matching Biggest Common Factor Method

Now, list down the factors of 9374

1,2,43,86,109,218,4687,9374

Now, list down the factors of 9954

1,2,3,6,7,9,14,18,21,42,63,79,126,158,237,474,553,711,1106,1422,1659,3318,4977,9954

Greatest Common Factor

We found the factors 9374,9954 . The biggest common factor number is the GCF number.
So the greatest common factor 9374,9954 is 2.

Lets's calculate LCM of 160,676

Lowest Common Multiple of 160,676 using Common Division

2	160, 676
2	80, 338
	40, 169

∴ So the LCM of the given numbers is 2 x 2 x 40 x 169 = 27040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27040

Therefore, the GCF of Fractions 9374/160,9954/676 is 2/27040

Least Common Multiple of 160,676 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 160,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,676) = 4

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

GCF(160,676) x common factors =4 x 1 = 4

LCM(160,676) = ( 160 × 676 ) / 4

LCM(160,676) = 108160 / 4

LCM(160,676) = 27040

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FAQs on GCF of Fractions of 9374/160, 9954/676

1. What is the HCF of 9374,9954?

The HCF of 9374,9954 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 9374/160, 9954/676?

Answer: GCF of Numerators as per given numbers 9374/160, 9954/676 is

GCF of Numerators i.e. for 9374,9954 is 2

LCM of denominators i.e. for 160,676 is 27040.

Thus, GCF of Fractions is 2/27040.Finally, GCF of Fractions for 9374/160, 9954/676 is 2/27040.