How to Find GCF of 1100/967, 9336/588?

GCF of 1100/967, 9336/588

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 1100/967, 9336/588 i.e 4/568596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1100/967, 9336/588.

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 1100/967,9336/588?

Given fractions are 1100/967,9336/588

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 1100/967,9336/588, numerators are 1100,9336

Denominators are 967,588

The GCF of 1100,9336 is 4 .

LCM of 967,588 is 568596.

The greatest common factor of 1100/967,9336/588 = [GCF of 1100,9336]/[LCM of 967,588]= 4/568596

Therefore, the GCF of 1100/967,9336/588 is 4/568596.

Greatest Common Factor of 1100,9336

To find the highest common factor of 1100,9336, we have to find the factors of both numbers and list the highest common factor.

The factors of 1100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100

The factors of 9336 are 1, 2, 3, 4, 6, 8, 12, 24, 389, 778, 1167, 1556, 2334, 3112, 4668, 9336

The HCF of 1100,9336 is 4.

Lets's calculate GCF of 1100,9336

Greatest Common Factor (GCF) of 1100,9336 By Common Division

2	1100, 9336
2	550, 4668
	275, 2334

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

Greatest Common Factor of 1100,9336 By Matching Biggest Common Factor Method

Now, list down the factors of 1100

1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100

Now, list down the factors of 9336

1,2,3,4,6,8,12,24,389,778,1167,1556,2334,3112,4668,9336

Greatest Common Factor

We found the factors 1100,9336 . The biggest common factor number is the GCF number.
So the greatest common factor 1100,9336 is 4.

Lets's calculate LCM of 967,588

Lowest Common Multiple of 967,588 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 568596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/568596

Therefore, the GCF of Fractions 1100/967,9336/588 is 4/568596

Least Common Multiple of 967,588 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 967,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,588) = 1

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

GCF(967,588) x common factors =1 x 1 = 1

LCM(967,588) = ( 967 × 588 ) / 1

LCM(967,588) = 568596 / 1

LCM(967,588) = 568596

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FAQs on GCF of Fractions of 1100/967, 9336/588

1. What is the HCF of 1100,9336?

The HCF of 1100,9336 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 1100/967, 9336/588?

Answer: GCF of Numerators as per given numbers 1100/967, 9336/588 is

GCF of Numerators i.e. for 1100,9336 is 4

LCM of denominators i.e. for 967,588 is 568596.

Thus, GCF of Fractions is 4/568596.Finally, GCF of Fractions for 1100/967, 9336/588 is 4/568596.