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GCF of 608/954, 105/116

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 608/954, 105/116 i.e 1/55332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 608/954, 105/116.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 608/954,105/116?

Given fractions are 608/954,105/116

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 608/954,105/116, numerators are 608,105

Denominators are 954,116

The GCF of 608,105 is 1 .

LCM of 954,116 is 55332.

The greatest common factor of 608/954,105/116 = [GCF of 608,105]/[LCM of 954,116]= 1/55332

Therefore, the GCF of 608/954,105/116 is 1/55332.

Greatest Common Factor of 608,105

To find the highest common factor of 608,105, we have to find the factors of both numbers and list the highest common factor.

The factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105

The HCF of 608,105 is 1.

Lets's calculate GCF of 608,105

Greatest Common Factor (GCF) of 608,105 By Common Division

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

Greatest Common Factor of 608,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,105 By Matching Biggest Common Factor Method

Now, list down the factors of 608

:

1,2,4,8,16,19,32,38,76,152,304,608

Now, list down the factors of 105

:

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 608,105 . The biggest common factor number is the GCF number.
So the greatest common factor 608,105 is 1.

Lets's calculate LCM of 954,116

Lowest Common Multiple of 954,116 using Common Division

2 954, 116
477, 58

∴ So the LCM of the given numbers is 2 x 477 x 58 = 55332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55332

Therefore, the GCF of Fractions 608/954,105/116 is 1/55332

Least Common Multiple of 954,116 with GCF Formula

Least Common Multiple of 954,116 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 954,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(954,116) = 2

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

GCF(954,116) x common factors =2 x 1 = 2

LCM(954,116) = ( 954 × 116 ) / 2

LCM(954,116) = 110664 / 2

LCM(954,116) = 55332


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FAQs on GCF of Fractions of 608/954, 105/116

1. What is the HCF of 608,105?

The HCF of 608,105 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 608/954, 105/116?

Answer: GCF of Numerators as per given numbers 608/954, 105/116 is

GCF of Numerators i.e. for 608,105 is 1

LCM of denominators i.e. for 954,116 is 55332.

Thus, GCF of Fractions is 1/55332.Finally, GCF of Fractions for 608/954, 105/116 is 1/55332.