How to Find GCF of 7403/614, 1976/9011?

GCF of 7403/614, 1976/9011

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 7403/614, 1976/9011 i.e 1/5532754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7403/614, 1976/9011.

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 7403/614,1976/9011?

Given fractions are 7403/614,1976/9011

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 7403/614,1976/9011, numerators are 7403,1976

Denominators are 614,9011

The GCF of 7403,1976 is 1 .

LCM of 614,9011 is 5532754.

The greatest common factor of 7403/614,1976/9011 = [GCF of 7403,1976]/[LCM of 614,9011]= 1/5532754

Therefore, the GCF of 7403/614,1976/9011 is 1/5532754.

Greatest Common Factor of 7403,1976

To find the highest common factor of 7403,1976, we have to find the factors of both numbers and list the highest common factor.

The factors of 7403 are 1, 11, 673, 7403

The factors of 1976 are 1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 494, 988, 1976

The HCF of 7403,1976 is 1.

Lets's calculate GCF of 7403,1976

Greatest Common Factor (GCF) of 7403,1976 By Common Division

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

Greatest Common Factor of 7403,1976 By Matching Biggest Common Factor Method

Now, list down the factors of 7403

1,11,673,7403

Now, list down the factors of 1976

1,2,4,8,13,19,26,38,52,76,104,152,247,494,988,1976

Greatest Common Factor

We found the factors 7403,1976 . The biggest common factor number is the GCF number.
So the greatest common factor 7403,1976 is 1.

Lets's calculate LCM of 614,9011

Lowest Common Multiple of 614,9011 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5532754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5532754

Therefore, the GCF of Fractions 7403/614,1976/9011 is 1/5532754

Least Common Multiple of 614,9011 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 614,9011 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,9011) = 1

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

GCF(614,9011) x common factors =1 x 1 = 1

LCM(614,9011) = ( 614 × 9011 ) / 1

LCM(614,9011) = 5532754 / 1

LCM(614,9011) = 5532754

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FAQs on GCF of Fractions of 7403/614, 1976/9011

1. What is the HCF of 7403,1976?

The HCF of 7403,1976 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 7403/614, 1976/9011?

Answer: GCF of Numerators as per given numbers 7403/614, 1976/9011 is

GCF of Numerators i.e. for 7403,1976 is 1

LCM of denominators i.e. for 614,9011 is 5532754.

Thus, GCF of Fractions is 1/5532754.Finally, GCF of Fractions for 7403/614, 1976/9011 is 1/5532754.