GCF of 7041/906, 6542/762
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7041/906, 6542/762 i.e 1/115062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7041/906, 6542/762.
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 7041/906,6542/762?
Given fractions are 7041/906,6542/762
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 7041/906,6542/762, numerators are 7041,6542
Denominators are 906,762
The GCF of 7041,6542 is 1 .
LCM of 906,762 is 115062.
The greatest common factor of 7041/906,6542/762 = [GCF of 7041,6542]/[LCM of 906,762]= 1/115062
Therefore, the GCF of 7041/906,6542/762 is 1/115062.
To find the highest common factor of 7041,6542, we have to find the factors of both numbers and list the highest common factor.
The factors of 7041 are 1, 3, 2347, 7041
The factors of 6542 are 1, 2, 3271, 6542
The HCF of 7041,6542 is 1.
Lets's calculate GCF of 7041,6542
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7041,6542 By Matching Biggest Common Factor Method
Now, list down the factors of 7041
:1,3,2347,7041
Now, list down the factors of 6542
:1,2,3271,6542
Greatest Common Factor
We found the factors 7041,6542 . The biggest common factor number is the GCF number.
So the greatest common factor 7041,6542 is 1.
Lets's calculate LCM of 906,762
| 2 | 906, 762 |
| 3 | 453, 381 |
| 151, 127 |
∴ So the LCM of the given numbers is 2 x 3 x 151 x 127 = 115062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115062
Therefore, the GCF of Fractions 7041/906,6542/762 is 1/115062
Least Common Multiple of 906,762 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 906,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,762) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(906,762) x common factors =6 x 1 = 6
LCM(906,762) = ( 906 × 762 ) / 6
LCM(906,762) = 690372 / 6
LCM(906,762) = 115062
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FAQs on GCF of Fractions of 7041/906, 6542/762
1. What is the HCF of 7041,6542?
The HCF of 7041,6542 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 7041/906, 6542/762?
Answer: GCF of Numerators as per given numbers 7041/906, 6542/762 is
GCF of Numerators i.e. for 7041,6542 is 1
LCM of denominators i.e. for 906,762 is 115062.
Thus, GCF of Fractions is 1/115062.Finally, GCF of Fractions for 7041/906, 6542/762 is 1/115062.