How to Find GCF of 5569/964, 1763/1188?

GCF of 5569/964, 1763/1188

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 5569/964, 1763/1188 i.e 1/286308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5569/964, 1763/1188.

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 5569/964,1763/1188?

Given fractions are 5569/964,1763/1188

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 5569/964,1763/1188, numerators are 5569,1763

Denominators are 964,1188

The GCF of 5569,1763 is 1 .

LCM of 964,1188 is 286308.

The greatest common factor of 5569/964,1763/1188 = [GCF of 5569,1763]/[LCM of 964,1188]= 1/286308

Therefore, the GCF of 5569/964,1763/1188 is 1/286308.

Greatest Common Factor of 5569,1763

To find the highest common factor of 5569,1763, we have to find the factors of both numbers and list the highest common factor.

The factors of 5569 are 1, 5569

The factors of 1763 are 1, 41, 43, 1763

The HCF of 5569,1763 is 1.

Lets's calculate GCF of 5569,1763

Greatest Common Factor (GCF) of 5569,1763 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5569,1763 By Matching Biggest Common Factor Method

Now, list down the factors of 5569

1,5569

Now, list down the factors of 1763

1,41,43,1763

Greatest Common Factor

We found the factors 5569,1763 . The biggest common factor number is the GCF number.
So the greatest common factor 5569,1763 is 1.

Lets's calculate LCM of 964,1188

Lowest Common Multiple of 964,1188 using Common Division

2	964, 1188
2	482, 594
	241, 297

∴ So the LCM of the given numbers is 2 x 2 x 241 x 297 = 286308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286308

Therefore, the GCF of Fractions 5569/964,1763/1188 is 1/286308

Least Common Multiple of 964,1188 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 964,1188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,1188) = 4

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

GCF(964,1188) x common factors =4 x 1 = 4

LCM(964,1188) = ( 964 × 1188 ) / 4

LCM(964,1188) = 1145232 / 4

LCM(964,1188) = 286308

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FAQs on GCF of Fractions of 5569/964, 1763/1188

1. What is the HCF of 5569,1763?

The HCF of 5569,1763 is 1

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 5569/964, 1763/1188?

Answer: GCF of Numerators as per given numbers 5569/964, 1763/1188 is

GCF of Numerators i.e. for 5569,1763 is 1

LCM of denominators i.e. for 964,1188 is 286308.

Thus, GCF of Fractions is 1/286308.Finally, GCF of Fractions for 5569/964, 1763/1188 is 1/286308.