GCF of 7471/760, 6356/4225
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7471/760, 6356/4225 i.e 1/642200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7471/760, 6356/4225.
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 7471/760,6356/4225?
Given fractions are 7471/760,6356/4225
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 7471/760,6356/4225, numerators are 7471,6356
Denominators are 760,4225
The GCF of 7471,6356 is 1 .
LCM of 760,4225 is 642200.
The greatest common factor of 7471/760,6356/4225 = [GCF of 7471,6356]/[LCM of 760,4225]= 1/642200
Therefore, the GCF of 7471/760,6356/4225 is 1/642200.
To find the highest common factor of 7471,6356, we have to find the factors of both numbers and list the highest common factor.
The factors of 7471 are 1, 31, 241, 7471
The factors of 6356 are 1, 2, 4, 7, 14, 28, 227, 454, 908, 1589, 3178, 6356
The HCF of 7471,6356 is 1.
Lets's calculate GCF of 7471,6356
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7471,6356 By Matching Biggest Common Factor Method
Now, list down the factors of 7471
:1,31,241,7471
Now, list down the factors of 6356
:1,2,4,7,14,28,227,454,908,1589,3178,6356
Greatest Common Factor
We found the factors 7471,6356 . The biggest common factor number is the GCF number.
So the greatest common factor 7471,6356 is 1.
Lets's calculate LCM of 760,4225
| 5 | 760, 4225 |
| 152, 845 |
∴ So the LCM of the given numbers is 5 x 152 x 845 = 642200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/642200
Therefore, the GCF of Fractions 7471/760,6356/4225 is 1/642200
Least Common Multiple of 760,4225 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 760,4225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,4225) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(760,4225) x common factors =5 x 1 = 5
LCM(760,4225) = ( 760 × 4225 ) / 5
LCM(760,4225) = 3211000 / 5
LCM(760,4225) = 642200
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FAQs on GCF of Fractions of 7471/760, 6356/4225
1. What is the HCF of 7471,6356?
The HCF of 7471,6356 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 7471/760, 6356/4225?
Answer: GCF of Numerators as per given numbers 7471/760, 6356/4225 is
GCF of Numerators i.e. for 7471,6356 is 1
LCM of denominators i.e. for 760,4225 is 642200.
Thus, GCF of Fractions is 1/642200.Finally, GCF of Fractions for 7471/760, 6356/4225 is 1/642200.