How to Find GCF of 5510/447, 6107/6940?

GCF of 5510/447, 6107/6940

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 5510/447, 6107/6940 i.e 1/3102180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5510/447, 6107/6940.

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 5510/447,6107/6940?

Given fractions are 5510/447,6107/6940

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 5510/447,6107/6940, numerators are 5510,6107

Denominators are 447,6940

The GCF of 5510,6107 is 1 .

LCM of 447,6940 is 3102180.

The greatest common factor of 5510/447,6107/6940 = [GCF of 5510,6107]/[LCM of 447,6940]= 1/3102180

Therefore, the GCF of 5510/447,6107/6940 is 1/3102180.

Greatest Common Factor of 5510,6107

To find the highest common factor of 5510,6107, we have to find the factors of both numbers and list the highest common factor.

The factors of 5510 are 1, 2, 5, 10, 19, 29, 38, 58, 95, 145, 190, 290, 551, 1102, 2755, 5510

The factors of 6107 are 1, 31, 197, 6107

The HCF of 5510,6107 is 1.

Lets's calculate GCF of 5510,6107

Greatest Common Factor (GCF) of 5510,6107 By Common Division

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

Greatest Common Factor of 5510,6107 By Matching Biggest Common Factor Method

Now, list down the factors of 5510

1,2,5,10,19,29,38,58,95,145,190,290,551,1102,2755,5510

Now, list down the factors of 6107

1,31,197,6107

Greatest Common Factor

We found the factors 5510,6107 . The biggest common factor number is the GCF number.
So the greatest common factor 5510,6107 is 1.

Lets's calculate LCM of 447,6940

Lowest Common Multiple of 447,6940 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3102180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3102180

Therefore, the GCF of Fractions 5510/447,6107/6940 is 1/3102180

Least Common Multiple of 447,6940 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 447,6940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(447,6940) = 1

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

GCF(447,6940) x common factors =1 x 1 = 1

LCM(447,6940) = ( 447 × 6940 ) / 1

LCM(447,6940) = 3102180 / 1

LCM(447,6940) = 3102180

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FAQs on GCF of Fractions of 5510/447, 6107/6940

1. What is the HCF of 5510,6107?

The HCF of 5510,6107 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 5510/447, 6107/6940?

Answer: GCF of Numerators as per given numbers 5510/447, 6107/6940 is

GCF of Numerators i.e. for 5510,6107 is 1

LCM of denominators i.e. for 447,6940 is 3102180.

Thus, GCF of Fractions is 1/3102180.Finally, GCF of Fractions for 5510/447, 6107/6940 is 1/3102180.