GCF of 5382/348, 7061/5482
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5382/348, 7061/5482 i.e 23/953868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5382/348, 7061/5482.
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 5382/348,7061/5482?
Given fractions are 5382/348,7061/5482
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 5382/348,7061/5482, numerators are 5382,7061
Denominators are 348,5482
The GCF of 5382,7061 is 23 .
LCM of 348,5482 is 953868.
The greatest common factor of 5382/348,7061/5482 = [GCF of 5382,7061]/[LCM of 348,5482]= 23/953868
Therefore, the GCF of 5382/348,7061/5482 is 23/953868.
To find the highest common factor of 5382,7061, we have to find the factors of both numbers and list the highest common factor.
The factors of 5382 are 1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207, 234, 299, 414, 598, 897, 1794, 2691, 5382
The factors of 7061 are 1, 23, 307, 7061
The HCF of 5382,7061 is 23.
Lets's calculate GCF of 5382,7061
| 23 | 5382, 7061 |
| 234, 307 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 5382,7061 By Matching Biggest Common Factor Method
Now, list down the factors of 5382
:1,2,3,6,9,13,18,23,26,39,46,69,78,117,138,207,234,299,414,598,897,1794,2691,5382
Now, list down the factors of 7061
:1,23,307,7061
Greatest Common Factor
We found the factors 5382,7061 . The biggest common factor number is the GCF number.
So the greatest common factor 5382,7061 is 23.
Lets's calculate LCM of 348,5482
| 2 | 348, 5482 |
| 174, 2741 |
∴ So the LCM of the given numbers is 2 x 174 x 2741 = 953868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/953868
Therefore, the GCF of Fractions 5382/348,7061/5482 is 23/953868
Least Common Multiple of 348,5482 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 348,5482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,5482) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(348,5482) x common factors =2 x 1 = 2
LCM(348,5482) = ( 348 × 5482 ) / 2
LCM(348,5482) = 1907736 / 2
LCM(348,5482) = 953868
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FAQs on GCF of Fractions of 5382/348, 7061/5482
1. What is the HCF of 5382,7061?
The HCF of 5382,7061 is 23
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 5382/348, 7061/5482?
Answer: GCF of Numerators as per given numbers 5382/348, 7061/5482 is
GCF of Numerators i.e. for 5382,7061 is 23
LCM of denominators i.e. for 348,5482 is 953868.
Thus, GCF of Fractions is 23/953868.Finally, GCF of Fractions for 5382/348, 7061/5482 is 23/953868.