GCF of 6452/344, 8132/3457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6452/344, 8132/3457 i.e 4/1189208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6452/344, 8132/3457.
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 6452/344,8132/3457?
Given fractions are 6452/344,8132/3457
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 6452/344,8132/3457, numerators are 6452,8132
Denominators are 344,3457
The GCF of 6452,8132 is 4 .
LCM of 344,3457 is 1189208.
The greatest common factor of 6452/344,8132/3457 = [GCF of 6452,8132]/[LCM of 344,3457]= 4/1189208
Therefore, the GCF of 6452/344,8132/3457 is 4/1189208.
To find the highest common factor of 6452,8132, we have to find the factors of both numbers and list the highest common factor.
The factors of 6452 are 1, 2, 4, 1613, 3226, 6452
The factors of 8132 are 1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 8132
The HCF of 6452,8132 is 4.
Lets's calculate GCF of 6452,8132
| 2 | 6452, 8132 |
| 2 | 3226, 4066 |
| 1613, 2033 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6452,8132 By Matching Biggest Common Factor Method
Now, list down the factors of 6452
:1,2,4,1613,3226,6452
Now, list down the factors of 8132
:1,2,4,19,38,76,107,214,428,2033,4066,8132
Greatest Common Factor
We found the factors 6452,8132 . The biggest common factor number is the GCF number.
So the greatest common factor 6452,8132 is 4.
Lets's calculate LCM of 344,3457
Given numbers has no common factors except 1. So, there LCM is their product i.e 1189208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1189208
Therefore, the GCF of Fractions 6452/344,8132/3457 is 4/1189208
Least Common Multiple of 344,3457 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 344,3457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,3457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(344,3457) x common factors =1 x 1 = 1
LCM(344,3457) = ( 344 × 3457 ) / 1
LCM(344,3457) = 1189208 / 1
LCM(344,3457) = 1189208
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FAQs on GCF of Fractions of 6452/344, 8132/3457
1. What is the HCF of 6452,8132?
The HCF of 6452,8132 is 4
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 6452/344, 8132/3457?
Answer: GCF of Numerators as per given numbers 6452/344, 8132/3457 is
GCF of Numerators i.e. for 6452,8132 is 4
LCM of denominators i.e. for 344,3457 is 1189208.
Thus, GCF of Fractions is 4/1189208.Finally, GCF of Fractions for 6452/344, 8132/3457 is 4/1189208.