GCF of 318/971, 1598/7499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 318/971, 1598/7499 i.e 2/7281529 easily. The following is the detailed procedure to determine the greatest common factor of fractions 318/971, 1598/7499.
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 318/971,1598/7499?
Given fractions are 318/971,1598/7499
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 318/971,1598/7499, numerators are 318,1598
Denominators are 971,7499
The GCF of 318,1598 is 2 .
LCM of 971,7499 is 7281529.
The greatest common factor of 318/971,1598/7499 = [GCF of 318,1598]/[LCM of 971,7499]= 2/7281529
Therefore, the GCF of 318/971,1598/7499 is 2/7281529.
To find the highest common factor of 318,1598, we have to find the factors of both numbers and list the highest common factor.
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The factors of 1598 are 1, 2, 17, 34, 47, 94, 799, 1598
The HCF of 318,1598 is 2.
Lets's calculate GCF of 318,1598
| 2 | 318, 1598 |
| 159, 799 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 318,1598 By Matching Biggest Common Factor Method
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Now, list down the factors of 1598
:1,2,17,34,47,94,799,1598
Greatest Common Factor
We found the factors 318,1598 . The biggest common factor number is the GCF number.
So the greatest common factor 318,1598 is 2.
Lets's calculate LCM of 971,7499
Given numbers has no common factors except 1. So, there LCM is their product i.e 7281529
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7281529
Therefore, the GCF of Fractions 318/971,1598/7499 is 2/7281529
Least Common Multiple of 971,7499 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 971,7499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,7499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,7499) x common factors =1 x 1 = 1
LCM(971,7499) = ( 971 × 7499 ) / 1
LCM(971,7499) = 7281529 / 1
LCM(971,7499) = 7281529
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FAQs on GCF of Fractions of 318/971, 1598/7499
1. What is the HCF of 318,1598?
The HCF of 318,1598 is 2
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 318/971, 1598/7499?
Answer: GCF of Numerators as per given numbers 318/971, 1598/7499 is
GCF of Numerators i.e. for 318,1598 is 2
LCM of denominators i.e. for 971,7499 is 7281529.
Thus, GCF of Fractions is 2/7281529.Finally, GCF of Fractions for 318/971, 1598/7499 is 2/7281529.