GCF of 5252/117, 7033/3614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5252/117, 7033/3614 i.e 13/32526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5252/117, 7033/3614.
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 5252/117,7033/3614?
Given fractions are 5252/117,7033/3614
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 5252/117,7033/3614, numerators are 5252,7033
Denominators are 117,3614
The GCF of 5252,7033 is 13 .
LCM of 117,3614 is 32526.
The greatest common factor of 5252/117,7033/3614 = [GCF of 5252,7033]/[LCM of 117,3614]= 13/32526
Therefore, the GCF of 5252/117,7033/3614 is 13/32526.
To find the highest common factor of 5252,7033, we have to find the factors of both numbers and list the highest common factor.
The factors of 5252 are 1, 2, 4, 13, 26, 52, 101, 202, 404, 1313, 2626, 5252
The factors of 7033 are 1, 13, 541, 7033
The HCF of 5252,7033 is 13.
Lets's calculate GCF of 5252,7033
| 13 | 5252, 7033 |
| 404, 541 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5252,7033 By Matching Biggest Common Factor Method
Now, list down the factors of 5252
:1,2,4,13,26,52,101,202,404,1313,2626,5252
Now, list down the factors of 7033
:1,13,541,7033
Greatest Common Factor
We found the factors 5252,7033 . The biggest common factor number is the GCF number.
So the greatest common factor 5252,7033 is 13.
Lets's calculate LCM of 117,3614
| 13 | 117, 3614 |
| 9, 278 |
∴ So the LCM of the given numbers is 13 x 9 x 278 = 32526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/32526
Therefore, the GCF of Fractions 5252/117,7033/3614 is 13/32526
Least Common Multiple of 117,3614 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 117,3614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,3614) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(117,3614) x common factors =13 x 1 = 13
LCM(117,3614) = ( 117 × 3614 ) / 13
LCM(117,3614) = 422838 / 13
LCM(117,3614) = 32526
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FAQs on GCF of Fractions of 5252/117, 7033/3614
1. What is the HCF of 5252,7033?
The HCF of 5252,7033 is 13
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 5252/117, 7033/3614?
Answer: GCF of Numerators as per given numbers 5252/117, 7033/3614 is
GCF of Numerators i.e. for 5252,7033 is 13
LCM of denominators i.e. for 117,3614 is 32526.
Thus, GCF of Fractions is 13/32526.Finally, GCF of Fractions for 5252/117, 7033/3614 is 13/32526.