How to Find GCF of 1364/275, 5164/9300?

GCF of 1364/275, 5164/9300

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 1364/275, 5164/9300 i.e 4/102300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1364/275, 5164/9300.

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 1364/275,5164/9300?

Given fractions are 1364/275,5164/9300

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 1364/275,5164/9300, numerators are 1364,5164

Denominators are 275,9300

The GCF of 1364,5164 is 4 .

LCM of 275,9300 is 102300.

The greatest common factor of 1364/275,5164/9300 = [GCF of 1364,5164]/[LCM of 275,9300]= 4/102300

Therefore, the GCF of 1364/275,5164/9300 is 4/102300.

Greatest Common Factor of 1364,5164

To find the highest common factor of 1364,5164, we have to find the factors of both numbers and list the highest common factor.

The factors of 1364 are 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364

The factors of 5164 are 1, 2, 4, 1291, 2582, 5164

The HCF of 1364,5164 is 4.

Lets's calculate GCF of 1364,5164

Greatest Common Factor (GCF) of 1364,5164 By Common Division

2	1364, 5164
2	682, 2582
	341, 1291

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

Greatest Common Factor of 1364,5164 By Matching Biggest Common Factor Method

Now, list down the factors of 1364

1,2,4,11,22,31,44,62,124,341,682,1364

Now, list down the factors of 5164

1,2,4,1291,2582,5164

Greatest Common Factor

We found the factors 1364,5164 . The biggest common factor number is the GCF number.
So the greatest common factor 1364,5164 is 4.

Lets's calculate LCM of 275,9300

Lowest Common Multiple of 275,9300 using Common Division

5	275, 9300
5	55, 1860
	11, 372

∴ So the LCM of the given numbers is 5 x 5 x 11 x 372 = 102300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/102300

Therefore, the GCF of Fractions 1364/275,5164/9300 is 4/102300

Least Common Multiple of 275,9300 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 275,9300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,9300) = 25

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

GCF(275,9300) x common factors =25 x 1 = 25

LCM(275,9300) = ( 275 × 9300 ) / 25

LCM(275,9300) = 2557500 / 25

LCM(275,9300) = 102300

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FAQs on GCF of Fractions of 1364/275, 5164/9300

1. What is the HCF of 1364,5164?

The HCF of 1364,5164 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 1364/275, 5164/9300?

Answer: GCF of Numerators as per given numbers 1364/275, 5164/9300 is

GCF of Numerators i.e. for 1364,5164 is 4

LCM of denominators i.e. for 275,9300 is 102300.

Thus, GCF of Fractions is 4/102300.Finally, GCF of Fractions for 1364/275, 5164/9300 is 4/102300.