GCF of 3542/972, 6371/104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3542/972, 6371/104 i.e 23/25272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3542/972, 6371/104.
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 3542/972,6371/104?
Given fractions are 3542/972,6371/104
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 3542/972,6371/104, numerators are 3542,6371
Denominators are 972,104
The GCF of 3542,6371 is 23 .
LCM of 972,104 is 25272.
The greatest common factor of 3542/972,6371/104 = [GCF of 3542,6371]/[LCM of 972,104]= 23/25272
Therefore, the GCF of 3542/972,6371/104 is 23/25272.
To find the highest common factor of 3542,6371, we have to find the factors of both numbers and list the highest common factor.
The factors of 3542 are 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771, 3542
The factors of 6371 are 1, 23, 277, 6371
The HCF of 3542,6371 is 23.
Lets's calculate GCF of 3542,6371
| 23 | 3542, 6371 |
| 154, 277 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 3542,6371 By Matching Biggest Common Factor Method
Now, list down the factors of 3542
:1,2,7,11,14,22,23,46,77,154,161,253,322,506,1771,3542
Now, list down the factors of 6371
:1,23,277,6371
Greatest Common Factor
We found the factors 3542,6371 . The biggest common factor number is the GCF number.
So the greatest common factor 3542,6371 is 23.
Lets's calculate LCM of 972,104
| 2 | 972, 104 |
| 2 | 486, 52 |
| 243, 26 |
∴ So the LCM of the given numbers is 2 x 2 x 243 x 26 = 25272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/25272
Therefore, the GCF of Fractions 3542/972,6371/104 is 23/25272
Least Common Multiple of 972,104 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 972,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,104) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(972,104) x common factors =4 x 1 = 4
LCM(972,104) = ( 972 × 104 ) / 4
LCM(972,104) = 101088 / 4
LCM(972,104) = 25272
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FAQs on GCF of Fractions of 3542/972, 6371/104
1. What is the HCF of 3542,6371?
The HCF of 3542,6371 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 3542/972, 6371/104?
Answer: GCF of Numerators as per given numbers 3542/972, 6371/104 is
GCF of Numerators i.e. for 3542,6371 is 23
LCM of denominators i.e. for 972,104 is 25272.
Thus, GCF of Fractions is 23/25272.Finally, GCF of Fractions for 3542/972, 6371/104 is 23/25272.