GCF of 7530/716, 8507/3642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7530/716, 8507/3642 i.e 1/1303836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7530/716, 8507/3642.
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 7530/716,8507/3642?
Given fractions are 7530/716,8507/3642
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 7530/716,8507/3642, numerators are 7530,8507
Denominators are 716,3642
The GCF of 7530,8507 is 1 .
LCM of 716,3642 is 1303836.
The greatest common factor of 7530/716,8507/3642 = [GCF of 7530,8507]/[LCM of 716,3642]= 1/1303836
Therefore, the GCF of 7530/716,8507/3642 is 1/1303836.
To find the highest common factor of 7530,8507, we have to find the factors of both numbers and list the highest common factor.
The factors of 7530 are 1, 2, 3, 5, 6, 10, 15, 30, 251, 502, 753, 1255, 1506, 2510, 3765, 7530
The factors of 8507 are 1, 47, 181, 8507
The HCF of 7530,8507 is 1.
Lets's calculate GCF of 7530,8507
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7530,8507 By Matching Biggest Common Factor Method
Now, list down the factors of 7530
:1,2,3,5,6,10,15,30,251,502,753,1255,1506,2510,3765,7530
Now, list down the factors of 8507
:1,47,181,8507
Greatest Common Factor
We found the factors 7530,8507 . The biggest common factor number is the GCF number.
So the greatest common factor 7530,8507 is 1.
Lets's calculate LCM of 716,3642
| 2 | 716, 3642 |
| 358, 1821 |
∴ So the LCM of the given numbers is 2 x 358 x 1821 = 1303836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1303836
Therefore, the GCF of Fractions 7530/716,8507/3642 is 1/1303836
Least Common Multiple of 716,3642 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 716,3642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,3642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(716,3642) x common factors =2 x 1 = 2
LCM(716,3642) = ( 716 × 3642 ) / 2
LCM(716,3642) = 2607672 / 2
LCM(716,3642) = 1303836
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FAQs on GCF of Fractions of 7530/716, 8507/3642
1. What is the HCF of 7530,8507?
The HCF of 7530,8507 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 7530/716, 8507/3642?
Answer: GCF of Numerators as per given numbers 7530/716, 8507/3642 is
GCF of Numerators i.e. for 7530,8507 is 1
LCM of denominators i.e. for 716,3642 is 1303836.
Thus, GCF of Fractions is 1/1303836.Finally, GCF of Fractions for 7530/716, 8507/3642 is 1/1303836.