How to Find GCF of 6269/120, 7572/5520?

GCF of 6269/120, 7572/5520

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 6269/120, 7572/5520 i.e 1/5520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6269/120, 7572/5520.

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 6269/120,7572/5520?

Given fractions are 6269/120,7572/5520

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 6269/120,7572/5520, numerators are 6269,7572

Denominators are 120,5520

The GCF of 6269,7572 is 1 .

LCM of 120,5520 is 5520.

The greatest common factor of 6269/120,7572/5520 = [GCF of 6269,7572]/[LCM of 120,5520]= 1/5520

Therefore, the GCF of 6269/120,7572/5520 is 1/5520.

Greatest Common Factor of 6269,7572

To find the highest common factor of 6269,7572, we have to find the factors of both numbers and list the highest common factor.

The factors of 6269 are 1, 6269

The factors of 7572 are 1, 2, 3, 4, 6, 12, 631, 1262, 1893, 2524, 3786, 7572

The HCF of 6269,7572 is 1.

Lets's calculate GCF of 6269,7572

Greatest Common Factor (GCF) of 6269,7572 By Common Division

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

Greatest Common Factor of 6269,7572 By Matching Biggest Common Factor Method

Now, list down the factors of 6269

1,6269

Now, list down the factors of 7572

1,2,3,4,6,12,631,1262,1893,2524,3786,7572

Greatest Common Factor

We found the factors 6269,7572 . The biggest common factor number is the GCF number.
So the greatest common factor 6269,7572 is 1.

Lets's calculate LCM of 120,5520

Lowest Common Multiple of 120,5520 using Common Division

2	120, 5520
2	60, 2760
2	30, 1380
3	15, 690
5	5, 230
	1, 46

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 46 = 5520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5520

Therefore, the GCF of Fractions 6269/120,7572/5520 is 1/5520

Least Common Multiple of 120,5520 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 120,5520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,5520) = 120

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

GCF(120,5520) x common factors =120 x 1 = 120

LCM(120,5520) = ( 120 × 5520 ) / 120

LCM(120,5520) = 662400 / 120

LCM(120,5520) = 5520

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FAQs on GCF of Fractions of 6269/120, 7572/5520

1. What is the HCF of 6269,7572?

The HCF of 6269,7572 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 6269/120, 7572/5520?

Answer: GCF of Numerators as per given numbers 6269/120, 7572/5520 is

GCF of Numerators i.e. for 6269,7572 is 1

LCM of denominators i.e. for 120,5520 is 5520.

Thus, GCF of Fractions is 1/5520.Finally, GCF of Fractions for 6269/120, 7572/5520 is 1/5520.