GCF of 849/92, 375/42, 598/36
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 849/92, 375/42, 598/36 i.e 1/5796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 849/92, 375/42, 598/36.
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 849/92,375/42,598/36?
Given fractions are 849/92,375/42,598/36
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 849/92,375/42,598/36, numerators are 849,375,598
Denominators are 92,42,36
The GCF of 849,375,598 is 1 .
LCM of 92,42,36 is 5796.
The greatest common factor of 849/92,375/42,598/36 = [GCF of 849,375,598]/[LCM of 92,42,36]= 1/5796
Therefore, the GCF of 849/92,375/42,598/36 is 1/5796.
To find the highest common factor of 849,375,598, we have to find the factors of both numbers and list the highest common factor.
The factors of 849 are 1, 3, 283, 849
The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The HCF of 849,375,598 is 1.
Lets's calculate GCF of 849,375,598
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 849,375,598 By Matching Biggest Common Factor Method
Now, list down the factors of 849
:1,3,283,849
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 849,375,598 . The biggest common factor number is the GCF number.
So the greatest common factor 849,375,598 is 1.
Lets's calculate LCM of 92,42,36
| 2 | 92, 42, 36 |
| 2 | 46, 21, 18 |
| 3 | 23, 21, 9 |
| 23, 7, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 7 x 3 = 5796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5796
Therefore, the GCF of Fractions 849/92,375/42,598/36 is 1/5796
Least Common Multiple of 92,42,36 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 92,42,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,42,36) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(92,42,36) x common factors =2 x 12 = 24
LCM(92,42,36) = ( 92 × 42 × 36 ) / 24
LCM(92,42,36) = 139104 / 24
LCM(92,42,36) = 5796
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FAQs on GCF of Fractions of 849/92, 375/42, 598/36
1. What is the HCF of 849,375,598?
The HCF of 849,375,598 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 849/92, 375/42, 598/36?
Answer: GCF of Numerators as per given numbers 849/92, 375/42, 598/36 is
GCF of Numerators i.e. for 849,375,598 is 1
LCM of denominators i.e. for 92,42,36 is 5796.
Thus, GCF of Fractions is 1/5796.Finally, GCF of Fractions for 849/92, 375/42, 598/36 is 1/5796.