GCF of 9527/690, 5010/2414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9527/690, 5010/2414 i.e 1/832830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9527/690, 5010/2414.
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 9527/690,5010/2414?
Given fractions are 9527/690,5010/2414
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 9527/690,5010/2414, numerators are 9527,5010
Denominators are 690,2414
The GCF of 9527,5010 is 1 .
LCM of 690,2414 is 832830.
The greatest common factor of 9527/690,5010/2414 = [GCF of 9527,5010]/[LCM of 690,2414]= 1/832830
Therefore, the GCF of 9527/690,5010/2414 is 1/832830.
To find the highest common factor of 9527,5010, we have to find the factors of both numbers and list the highest common factor.
The factors of 9527 are 1, 7, 1361, 9527
The factors of 5010 are 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010
The HCF of 9527,5010 is 1.
Lets's calculate GCF of 9527,5010
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9527,5010 By Matching Biggest Common Factor Method
Now, list down the factors of 9527
:1,7,1361,9527
Now, list down the factors of 5010
:1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010
Greatest Common Factor
We found the factors 9527,5010 . The biggest common factor number is the GCF number.
So the greatest common factor 9527,5010 is 1.
Lets's calculate LCM of 690,2414
| 2 | 690, 2414 |
| 345, 1207 |
∴ So the LCM of the given numbers is 2 x 345 x 1207 = 832830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/832830
Therefore, the GCF of Fractions 9527/690,5010/2414 is 1/832830
Least Common Multiple of 690,2414 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 690,2414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,2414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(690,2414) x common factors =2 x 1 = 2
LCM(690,2414) = ( 690 × 2414 ) / 2
LCM(690,2414) = 1665660 / 2
LCM(690,2414) = 832830
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FAQs on GCF of Fractions of 9527/690, 5010/2414
1. What is the HCF of 9527,5010?
The HCF of 9527,5010 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 9527/690, 5010/2414?
Answer: GCF of Numerators as per given numbers 9527/690, 5010/2414 is
GCF of Numerators i.e. for 9527,5010 is 1
LCM of denominators i.e. for 690,2414 is 832830.
Thus, GCF of Fractions is 1/832830.Finally, GCF of Fractions for 9527/690, 5010/2414 is 1/832830.