How to Find GCF of 17/88, 949/15, 838/639?

GCF of 17/88, 949/15, 838/639

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 17/88, 949/15, 838/639 i.e 1/281160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/88, 949/15, 838/639.

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 17/88,949/15,838/639?

Given fractions are 17/88,949/15,838/639

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 17/88,949/15,838/639, numerators are 17,949,838

Denominators are 88,15,639

The GCF of 17,949,838 is 1 .

LCM of 88,15,639 is 281160.

The greatest common factor of 17/88,949/15,838/639 = [GCF of 17,949,838]/[LCM of 88,15,639]= 1/281160

Therefore, the GCF of 17/88,949/15,838/639 is 1/281160.

Greatest Common Factor of 17,949,838

To find the highest common factor of 17,949,838, we have to find the factors of both numbers and list the highest common factor.

The factors of 17 are 1, 17

The factors of 949 are 1, 13, 73, 949

The factors of 838 are 1, 2, 419, 838

The HCF of 17,949,838 is 1.

Lets's calculate GCF of 17,949,838

Greatest Common Factor (GCF) of 17,949,838 By Common Division

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

Greatest Common Factor of 17,949,838 By Matching Biggest Common Factor Method

Now, list down the factors of 17

1,17

Now, list down the factors of 949

1,13,73,949

Now, list down the factors of 838

1,2,419,838

Greatest Common Factor

We found the factors 17,949,838 . The biggest common factor number is the GCF number.
So the greatest common factor 17,949,838 is 1.

Lets's calculate LCM of 88,15,639

Lowest Common Multiple of 88,15,639 using Common Division

3	88, 15, 639
	88, 5, 213

∴ So the LCM of the given numbers is 3 x 88 x 5 x 213 = 281160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281160

Therefore, the GCF of Fractions 17/88,949/15,838/639 is 1/281160

Least Common Multiple of 88,15,639 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 88,15,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,15,639) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(88,15,639) x common factors =1 x 3 = 3

LCM(88,15,639) = ( 88 × 15 × 639 ) / 3

LCM(88,15,639) = 843480 / 3

LCM(88,15,639) = 281160

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 17/88, 949/15, 838/639

1. What is the HCF of 17,949,838?

The HCF of 17,949,838 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 17/88, 949/15, 838/639?

Answer: GCF of Numerators as per given numbers 17/88, 949/15, 838/639 is

GCF of Numerators i.e. for 17,949,838 is 1

LCM of denominators i.e. for 88,15,639 is 281160.

Thus, GCF of Fractions is 1/281160.Finally, GCF of Fractions for 17/88, 949/15, 838/639 is 1/281160.