GCF of 371/998, 7946/782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 371/998, 7946/782 i.e 1/390218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 371/998, 7946/782.
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 371/998,7946/782?
Given fractions are 371/998,7946/782
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 371/998,7946/782, numerators are 371,7946
Denominators are 998,782
The GCF of 371,7946 is 1 .
LCM of 998,782 is 390218.
The greatest common factor of 371/998,7946/782 = [GCF of 371,7946]/[LCM of 998,782]= 1/390218
Therefore, the GCF of 371/998,7946/782 is 1/390218.
To find the highest common factor of 371,7946, we have to find the factors of both numbers and list the highest common factor.
The factors of 371 are 1, 7, 53, 371
The factors of 7946 are 1, 2, 29, 58, 137, 274, 3973, 7946
The HCF of 371,7946 is 1.
Lets's calculate GCF of 371,7946
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 371,7946 By Matching Biggest Common Factor Method
Now, list down the factors of 371
:1,7,53,371
Now, list down the factors of 7946
:1,2,29,58,137,274,3973,7946
Greatest Common Factor
We found the factors 371,7946 . The biggest common factor number is the GCF number.
So the greatest common factor 371,7946 is 1.
Lets's calculate LCM of 998,782
| 2 | 998, 782 |
| 499, 391 |
∴ So the LCM of the given numbers is 2 x 499 x 391 = 390218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390218
Therefore, the GCF of Fractions 371/998,7946/782 is 1/390218
Least Common Multiple of 998,782 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 998,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(998,782) x common factors =2 x 1 = 2
LCM(998,782) = ( 998 × 782 ) / 2
LCM(998,782) = 780436 / 2
LCM(998,782) = 390218
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FAQs on GCF of Fractions of 371/998, 7946/782
1. What is the HCF of 371,7946?
The HCF of 371,7946 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 371/998, 7946/782?
Answer: GCF of Numerators as per given numbers 371/998, 7946/782 is
GCF of Numerators i.e. for 371,7946 is 1
LCM of denominators i.e. for 998,782 is 390218.
Thus, GCF of Fractions is 1/390218.Finally, GCF of Fractions for 371/998, 7946/782 is 1/390218.