How to Find GCF of 912/42, 470/5275?

GCF of 912/42, 470/5275

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 912/42, 470/5275 i.e 2/221550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 912/42, 470/5275.

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 912/42,470/5275?

Given fractions are 912/42,470/5275

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 912/42,470/5275, numerators are 912,470

Denominators are 42,5275

The GCF of 912,470 is 2 .

LCM of 42,5275 is 221550.

The greatest common factor of 912/42,470/5275 = [GCF of 912,470]/[LCM of 42,5275]= 2/221550

Therefore, the GCF of 912/42,470/5275 is 2/221550.

Greatest Common Factor of 912,470

To find the highest common factor of 912,470, we have to find the factors of both numbers and list the highest common factor.

The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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

The HCF of 912,470 is 2.

Lets's calculate GCF of 912,470

Greatest Common Factor (GCF) of 912,470 By Common Division

2	912, 470
	456, 235

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

Greatest Common Factor of 912,470 By Matching Biggest Common Factor Method

Now, list down the factors of 912

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Now, list down the factors of 470

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

Greatest Common Factor

We found the factors 912,470 . The biggest common factor number is the GCF number.
So the greatest common factor 912,470 is 2.

Lets's calculate LCM of 42,5275

Lowest Common Multiple of 42,5275 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 221550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/221550

Therefore, the GCF of Fractions 912/42,470/5275 is 2/221550

Least Common Multiple of 42,5275 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 42,5275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,5275) = 1

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

GCF(42,5275) x common factors =1 x 1 = 1

LCM(42,5275) = ( 42 × 5275 ) / 1

LCM(42,5275) = 221550 / 1

LCM(42,5275) = 221550

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FAQs on GCF of Fractions of 912/42, 470/5275

1. What is the HCF of 912,470?

The HCF of 912,470 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 912/42, 470/5275?

Answer: GCF of Numerators as per given numbers 912/42, 470/5275 is

GCF of Numerators i.e. for 912,470 is 2

LCM of denominators i.e. for 42,5275 is 221550.

Thus, GCF of Fractions is 2/221550.Finally, GCF of Fractions for 912/42, 470/5275 is 2/221550.