How to Find GCF of 43/948, 10/614, 307/606?

GCF of 43/948, 10/614, 307/606

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 43/948, 10/614, 307/606 i.e 1/29394636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/948, 10/614, 307/606.

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 43/948,10/614,307/606?

Given fractions are 43/948,10/614,307/606

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 43/948,10/614,307/606, numerators are 43,10,307

Denominators are 948,614,606

The GCF of 43,10,307 is 1 .

LCM of 948,614,606 is 29394636.

The greatest common factor of 43/948,10/614,307/606 = [GCF of 43,10,307]/[LCM of 948,614,606]= 1/29394636

Therefore, the GCF of 43/948,10/614,307/606 is 1/29394636.

Greatest Common Factor of 43,10,307

To find the highest common factor of 43,10,307, we have to find the factors of both numbers and list the highest common factor.

The factors of 43 are 1, 43

The factors of 10 are 1, 2, 5, 10

The factors of 307 are 1, 307

The HCF of 43,10,307 is 1.

Lets's calculate GCF of 43,10,307

Greatest Common Factor (GCF) of 43,10,307 By Common Division

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

Greatest Common Factor of 43,10,307 By Matching Biggest Common Factor Method

Now, list down the factors of 43

1,43

Now, list down the factors of 10

1,2,5,10

Now, list down the factors of 307

1,307

Greatest Common Factor

We found the factors 43,10,307 . The biggest common factor number is the GCF number.
So the greatest common factor 43,10,307 is 1.

Lets's calculate LCM of 948,614,606

Lowest Common Multiple of 948,614,606 using Common Division

2	948, 614, 606
3	474, 307, 303
	158, 307, 101

∴ So the LCM of the given numbers is 2 x 3 x 158 x 307 x 101 = 29394636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29394636

Therefore, the GCF of Fractions 43/948,10/614,307/606 is 1/29394636

Least Common Multiple of 948,614,606 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 948,614,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,614,606) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(948,614,606) x common factors =2 x 6 = 12

LCM(948,614,606) = ( 948 × 614 × 606 ) / 12

LCM(948,614,606) = 352735632 / 12

LCM(948,614,606) = 29394636

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 43/948, 10/614, 307/606

1. What is the HCF of 43,10,307?

The HCF of 43,10,307 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 43/948, 10/614, 307/606?

Answer: GCF of Numerators as per given numbers 43/948, 10/614, 307/606 is

GCF of Numerators i.e. for 43,10,307 is 1

LCM of denominators i.e. for 948,614,606 is 29394636.

Thus, GCF of Fractions is 1/29394636.Finally, GCF of Fractions for 43/948, 10/614, 307/606 is 1/29394636.