GCF of 9352/629, 3561/527
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9352/629, 3561/527 i.e 1/19499 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9352/629, 3561/527.
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 9352/629,3561/527?
Given fractions are 9352/629,3561/527
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 9352/629,3561/527, numerators are 9352,3561
Denominators are 629,527
The GCF of 9352,3561 is 1 .
LCM of 629,527 is 19499.
The greatest common factor of 9352/629,3561/527 = [GCF of 9352,3561]/[LCM of 629,527]= 1/19499
Therefore, the GCF of 9352/629,3561/527 is 1/19499.
To find the highest common factor of 9352,3561, we have to find the factors of both numbers and list the highest common factor.
The factors of 9352 are 1, 2, 4, 7, 8, 14, 28, 56, 167, 334, 668, 1169, 1336, 2338, 4676, 9352
The factors of 3561 are 1, 3, 1187, 3561
The HCF of 9352,3561 is 1.
Lets's calculate GCF of 9352,3561
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9352,3561 By Matching Biggest Common Factor Method
Now, list down the factors of 9352
:1,2,4,7,8,14,28,56,167,334,668,1169,1336,2338,4676,9352
Now, list down the factors of 3561
:1,3,1187,3561
Greatest Common Factor
We found the factors 9352,3561 . The biggest common factor number is the GCF number.
So the greatest common factor 9352,3561 is 1.
Lets's calculate LCM of 629,527
| 17 | 629, 527 |
| 37, 31 |
∴ So the LCM of the given numbers is 17 x 37 x 31 = 19499
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19499
Therefore, the GCF of Fractions 9352/629,3561/527 is 1/19499
Least Common Multiple of 629,527 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 629,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,527) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(629,527) x common factors =17 x 1 = 17
LCM(629,527) = ( 629 × 527 ) / 17
LCM(629,527) = 331483 / 17
LCM(629,527) = 19499
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FAQs on GCF of Fractions of 9352/629, 3561/527
1. What is the HCF of 9352,3561?
The HCF of 9352,3561 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 9352/629, 3561/527?
Answer: GCF of Numerators as per given numbers 9352/629, 3561/527 is
GCF of Numerators i.e. for 9352,3561 is 1
LCM of denominators i.e. for 629,527 is 19499.
Thus, GCF of Fractions is 1/19499.Finally, GCF of Fractions for 9352/629, 3561/527 is 1/19499.