How to Find GCF of 470/207, 4524/1552?

GCF of 470/207, 4524/1552

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 470/207, 4524/1552 i.e 2/321264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 470/207, 4524/1552.

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 470/207,4524/1552?

Given fractions are 470/207,4524/1552

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 470/207,4524/1552, numerators are 470,4524

Denominators are 207,1552

The GCF of 470,4524 is 2 .

LCM of 207,1552 is 321264.

The greatest common factor of 470/207,4524/1552 = [GCF of 470,4524]/[LCM of 207,1552]= 2/321264

Therefore, the GCF of 470/207,4524/1552 is 2/321264.

Greatest Common Factor of 470,4524

To find the highest common factor of 470,4524, we have to find the factors of both numbers and list the highest common factor.

The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470

The factors of 4524 are 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262, 4524

The HCF of 470,4524 is 2.

Lets's calculate GCF of 470,4524

Greatest Common Factor (GCF) of 470,4524 By Common Division

2	470, 4524
	235, 2262

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

Greatest Common Factor of 470,4524 By Matching Biggest Common Factor Method

Now, list down the factors of 470

1,2,5,10,47,94,235,470

Now, list down the factors of 4524

1,2,3,4,6,12,13,26,29,39,52,58,78,87,116,156,174,348,377,754,1131,1508,2262,4524

Greatest Common Factor

We found the factors 470,4524 . The biggest common factor number is the GCF number.
So the greatest common factor 470,4524 is 2.

Lets's calculate LCM of 207,1552

Lowest Common Multiple of 207,1552 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 321264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/321264

Therefore, the GCF of Fractions 470/207,4524/1552 is 2/321264

Least Common Multiple of 207,1552 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 207,1552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,1552) = 1

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

GCF(207,1552) x common factors =1 x 1 = 1

LCM(207,1552) = ( 207 × 1552 ) / 1

LCM(207,1552) = 321264 / 1

LCM(207,1552) = 321264

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FAQs on GCF of Fractions of 470/207, 4524/1552

1. What is the HCF of 470,4524?

The HCF of 470,4524 is 2

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 470/207, 4524/1552?

Answer: GCF of Numerators as per given numbers 470/207, 4524/1552 is

GCF of Numerators i.e. for 470,4524 is 2

LCM of denominators i.e. for 207,1552 is 321264.

Thus, GCF of Fractions is 2/321264.Finally, GCF of Fractions for 470/207, 4524/1552 is 2/321264.