GCF of 39/458, 598/348, 962/870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/458, 598/348, 962/870 i.e 13/398460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/458, 598/348, 962/870.
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 39/458,598/348,962/870?
Given fractions are 39/458,598/348,962/870
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 39/458,598/348,962/870, numerators are 39,598,962
Denominators are 458,348,870
The GCF of 39,598,962 is 13 .
LCM of 458,348,870 is 398460.
The greatest common factor of 39/458,598/348,962/870 = [GCF of 39,598,962]/[LCM of 458,348,870]= 13/398460
Therefore, the GCF of 39/458,598/348,962/870 is 13/398460.
To find the highest common factor of 39,598,962, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962
The HCF of 39,598,962 is 13.
Lets's calculate GCF of 39,598,962
| 13 | 39, 598, 962 |
| 3, 46, 74 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 39,598,962 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Now, list down the factors of 962
:1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 39,598,962 . The biggest common factor number is the GCF number.
So the greatest common factor 39,598,962 is 13.
Lets's calculate LCM of 458,348,870
| 2 | 458, 348, 870 |
| 3 | 229, 174, 435 |
| 29 | 229, 58, 145 |
| 229, 2, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 229 x 2 x 5 = 398460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/398460
Therefore, the GCF of Fractions 39/458,598/348,962/870 is 13/398460
Least Common Multiple of 458,348,870 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 458,348,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,348,870) = 2
common factors(in case of two or more numbers have common factors) = 174
GCF(458,348,870) x common factors =2 x 174 = 348
LCM(458,348,870) = ( 458 × 348 × 870 ) / 348
LCM(458,348,870) = 138664080 / 348
LCM(458,348,870) = 398460
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 39/458, 598/348, 962/870
1. What is the HCF of 39,598,962?
The HCF of 39,598,962 is 13
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 39/458, 598/348, 962/870?
Answer: GCF of Numerators as per given numbers 39/458, 598/348, 962/870 is
GCF of Numerators i.e. for 39,598,962 is 13
LCM of denominators i.e. for 458,348,870 is 398460.
Thus, GCF of Fractions is 13/398460.Finally, GCF of Fractions for 39/458, 598/348, 962/870 is 13/398460.