How to Find GCF of 61/17, 949/78, 105/551?

GCF of 61/17, 949/78, 105/551

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 61/17, 949/78, 105/551 i.e 1/730626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/17, 949/78, 105/551.

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 61/17,949/78,105/551?

Given fractions are 61/17,949/78,105/551

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 61/17,949/78,105/551, numerators are 61,949,105

Denominators are 17,78,551

The GCF of 61,949,105 is 1 .

LCM of 17,78,551 is 730626.

The greatest common factor of 61/17,949/78,105/551 = [GCF of 61,949,105]/[LCM of 17,78,551]= 1/730626

Therefore, the GCF of 61/17,949/78,105/551 is 1/730626.

Greatest Common Factor of 61,949,105

To find the highest common factor of 61,949,105, we have to find the factors of both numbers and list the highest common factor.

The factors of 61 are 1, 61

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

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

The HCF of 61,949,105 is 1.

Lets's calculate GCF of 61,949,105

Greatest Common Factor (GCF) of 61,949,105 By Common Division

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

Greatest Common Factor of 61,949,105 By Matching Biggest Common Factor Method

Now, list down the factors of 61

1,61

Now, list down the factors of 949

1,13,73,949

Now, list down the factors of 105

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

Greatest Common Factor

We found the factors 61,949,105 . The biggest common factor number is the GCF number.
So the greatest common factor 61,949,105 is 1.

Lets's calculate LCM of 17,78,551

Lowest Common Multiple of 17,78,551 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 730626

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/730626

Therefore, the GCF of Fractions 61/17,949/78,105/551 is 1/730626

Least Common Multiple of 17,78,551 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 17,78,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,78,551) = 1

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

GCF(17,78,551) x common factors =1 x 1 = 1

LCM(17,78,551) = ( 17 × 78 × 551 ) / 1

LCM(17,78,551) = 730626 / 1

LCM(17,78,551) = 730626

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FAQs on GCF of Fractions of 61/17, 949/78, 105/551

1. What is the HCF of 61,949,105?

The HCF of 61,949,105 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 61/17, 949/78, 105/551?

Answer: GCF of Numerators as per given numbers 61/17, 949/78, 105/551 is

GCF of Numerators i.e. for 61,949,105 is 1

LCM of denominators i.e. for 17,78,551 is 730626.

Thus, GCF of Fractions is 1/730626.Finally, GCF of Fractions for 61/17, 949/78, 105/551 is 1/730626.