GCF of 4471/732, 6988/8114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4471/732, 6988/8114 i.e 1/2969724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4471/732, 6988/8114.
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 4471/732,6988/8114?
Given fractions are 4471/732,6988/8114
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 4471/732,6988/8114, numerators are 4471,6988
Denominators are 732,8114
The GCF of 4471,6988 is 1 .
LCM of 732,8114 is 2969724.
The greatest common factor of 4471/732,6988/8114 = [GCF of 4471,6988]/[LCM of 732,8114]= 1/2969724
Therefore, the GCF of 4471/732,6988/8114 is 1/2969724.
To find the highest common factor of 4471,6988, we have to find the factors of both numbers and list the highest common factor.
The factors of 4471 are 1, 17, 263, 4471
The factors of 6988 are 1, 2, 4, 1747, 3494, 6988
The HCF of 4471,6988 is 1.
Lets's calculate GCF of 4471,6988
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4471,6988 By Matching Biggest Common Factor Method
Now, list down the factors of 4471
:1,17,263,4471
Now, list down the factors of 6988
:1,2,4,1747,3494,6988
Greatest Common Factor
We found the factors 4471,6988 . The biggest common factor number is the GCF number.
So the greatest common factor 4471,6988 is 1.
Lets's calculate LCM of 732,8114
| 2 | 732, 8114 |
| 366, 4057 |
∴ So the LCM of the given numbers is 2 x 366 x 4057 = 2969724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2969724
Therefore, the GCF of Fractions 4471/732,6988/8114 is 1/2969724
Least Common Multiple of 732,8114 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 732,8114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,8114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(732,8114) x common factors =2 x 1 = 2
LCM(732,8114) = ( 732 × 8114 ) / 2
LCM(732,8114) = 5939448 / 2
LCM(732,8114) = 2969724
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FAQs on GCF of Fractions of 4471/732, 6988/8114
1. What is the HCF of 4471,6988?
The HCF of 4471,6988 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 4471/732, 6988/8114?
Answer: GCF of Numerators as per given numbers 4471/732, 6988/8114 is
GCF of Numerators i.e. for 4471,6988 is 1
LCM of denominators i.e. for 732,8114 is 2969724.
Thus, GCF of Fractions is 1/2969724.Finally, GCF of Fractions for 4471/732, 6988/8114 is 1/2969724.