How to Find GCF of 4103/308, 9770/549?

GCF of 4103/308, 9770/549

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 4103/308, 9770/549 i.e 1/169092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4103/308, 9770/549.

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 4103/308,9770/549?

Given fractions are 4103/308,9770/549

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 4103/308,9770/549, numerators are 4103,9770

Denominators are 308,549

The GCF of 4103,9770 is 1 .

LCM of 308,549 is 169092.

The greatest common factor of 4103/308,9770/549 = [GCF of 4103,9770]/[LCM of 308,549]= 1/169092

Therefore, the GCF of 4103/308,9770/549 is 1/169092.

Greatest Common Factor of 4103,9770

To find the highest common factor of 4103,9770, we have to find the factors of both numbers and list the highest common factor.

The factors of 4103 are 1, 11, 373, 4103

The factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770

The HCF of 4103,9770 is 1.

Lets's calculate GCF of 4103,9770

Greatest Common Factor (GCF) of 4103,9770 By Common Division

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

Greatest Common Factor of 4103,9770 By Matching Biggest Common Factor Method

Now, list down the factors of 4103

1,11,373,4103

Now, list down the factors of 9770

1,2,5,10,977,1954,4885,9770

Greatest Common Factor

We found the factors 4103,9770 . The biggest common factor number is the GCF number.
So the greatest common factor 4103,9770 is 1.

Lets's calculate LCM of 308,549

Lowest Common Multiple of 308,549 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 169092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169092

Therefore, the GCF of Fractions 4103/308,9770/549 is 1/169092

Least Common Multiple of 308,549 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 308,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,549) = 1

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

GCF(308,549) x common factors =1 x 1 = 1

LCM(308,549) = ( 308 × 549 ) / 1

LCM(308,549) = 169092 / 1

LCM(308,549) = 169092

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FAQs on GCF of Fractions of 4103/308, 9770/549

1. What is the HCF of 4103,9770?

The HCF of 4103,9770 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 4103/308, 9770/549?

Answer: GCF of Numerators as per given numbers 4103/308, 9770/549 is

GCF of Numerators i.e. for 4103,9770 is 1

LCM of denominators i.e. for 308,549 is 169092.

Thus, GCF of Fractions is 1/169092.Finally, GCF of Fractions for 4103/308, 9770/549 is 1/169092.