How to Find GCF of 9784/600, 5052/1180?

GCF of 9784/600, 5052/1180

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 9784/600, 5052/1180 i.e 4/35400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9784/600, 5052/1180.

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 9784/600,5052/1180?

Given fractions are 9784/600,5052/1180

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 9784/600,5052/1180, numerators are 9784,5052

Denominators are 600,1180

The GCF of 9784,5052 is 4 .

LCM of 600,1180 is 35400.

The greatest common factor of 9784/600,5052/1180 = [GCF of 9784,5052]/[LCM of 600,1180]= 4/35400

Therefore, the GCF of 9784/600,5052/1180 is 4/35400.

Greatest Common Factor of 9784,5052

To find the highest common factor of 9784,5052, we have to find the factors of both numbers and list the highest common factor.

The factors of 9784 are 1, 2, 4, 8, 1223, 2446, 4892, 9784

The factors of 5052 are 1, 2, 3, 4, 6, 12, 421, 842, 1263, 1684, 2526, 5052

The HCF of 9784,5052 is 4.

Lets's calculate GCF of 9784,5052

Greatest Common Factor (GCF) of 9784,5052 By Common Division

2	9784, 5052
2	4892, 2526
	2446, 1263

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

Greatest Common Factor of 9784,5052 By Matching Biggest Common Factor Method

Now, list down the factors of 9784

1,2,4,8,1223,2446,4892,9784

Now, list down the factors of 5052

1,2,3,4,6,12,421,842,1263,1684,2526,5052

Greatest Common Factor

We found the factors 9784,5052 . The biggest common factor number is the GCF number.
So the greatest common factor 9784,5052 is 4.

Lets's calculate LCM of 600,1180

Lowest Common Multiple of 600,1180 using Common Division

2	600, 1180
2	300, 590
5	150, 295
	30, 59

∴ So the LCM of the given numbers is 2 x 2 x 5 x 30 x 59 = 35400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/35400

Therefore, the GCF of Fractions 9784/600,5052/1180 is 4/35400

Least Common Multiple of 600,1180 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 600,1180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,1180) = 20

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

GCF(600,1180) x common factors =20 x 1 = 20

LCM(600,1180) = ( 600 × 1180 ) / 20

LCM(600,1180) = 708000 / 20

LCM(600,1180) = 35400

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FAQs on GCF of Fractions of 9784/600, 5052/1180

1. What is the HCF of 9784,5052?

The HCF of 9784,5052 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 9784/600, 5052/1180?

Answer: GCF of Numerators as per given numbers 9784/600, 5052/1180 is

GCF of Numerators i.e. for 9784,5052 is 4

LCM of denominators i.e. for 600,1180 is 35400.

Thus, GCF of Fractions is 4/35400.Finally, GCF of Fractions for 9784/600, 5052/1180 is 4/35400.