GCF of 6035/758, 1404/282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6035/758, 1404/282 i.e 1/106878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6035/758, 1404/282.
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 6035/758,1404/282?
Given fractions are 6035/758,1404/282
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 6035/758,1404/282, numerators are 6035,1404
Denominators are 758,282
The GCF of 6035,1404 is 1 .
LCM of 758,282 is 106878.
The greatest common factor of 6035/758,1404/282 = [GCF of 6035,1404]/[LCM of 758,282]= 1/106878
Therefore, the GCF of 6035/758,1404/282 is 1/106878.
To find the highest common factor of 6035,1404, we have to find the factors of both numbers and list the highest common factor.
The factors of 6035 are 1, 5, 17, 71, 85, 355, 1207, 6035
The factors of 1404 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404
The HCF of 6035,1404 is 1.
Lets's calculate GCF of 6035,1404
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6035,1404 By Matching Biggest Common Factor Method
Now, list down the factors of 6035
:1,5,17,71,85,355,1207,6035
Now, list down the factors of 1404
:1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,108,117,156,234,351,468,702,1404
Greatest Common Factor
We found the factors 6035,1404 . The biggest common factor number is the GCF number.
So the greatest common factor 6035,1404 is 1.
Lets's calculate LCM of 758,282
| 2 | 758, 282 |
| 379, 141 |
∴ So the LCM of the given numbers is 2 x 379 x 141 = 106878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106878
Therefore, the GCF of Fractions 6035/758,1404/282 is 1/106878
Least Common Multiple of 758,282 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 758,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(758,282) x common factors =2 x 1 = 2
LCM(758,282) = ( 758 × 282 ) / 2
LCM(758,282) = 213756 / 2
LCM(758,282) = 106878
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FAQs on GCF of Fractions of 6035/758, 1404/282
1. What is the HCF of 6035,1404?
The HCF of 6035,1404 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 6035/758, 1404/282?
Answer: GCF of Numerators as per given numbers 6035/758, 1404/282 is
GCF of Numerators i.e. for 6035,1404 is 1
LCM of denominators i.e. for 758,282 is 106878.
Thus, GCF of Fractions is 1/106878.Finally, GCF of Fractions for 6035/758, 1404/282 is 1/106878.