GCF of 379/807, 559/378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 379/807, 559/378 i.e 1/101682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 379/807, 559/378.
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 379/807,559/378?
Given fractions are 379/807,559/378
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 379/807,559/378, numerators are 379,559
Denominators are 807,378
The GCF of 379,559 is 1 .
LCM of 807,378 is 101682.
The greatest common factor of 379/807,559/378 = [GCF of 379,559]/[LCM of 807,378]= 1/101682
Therefore, the GCF of 379/807,559/378 is 1/101682.
To find the highest common factor of 379,559, we have to find the factors of both numbers and list the highest common factor.
The factors of 379 are 1, 379
The factors of 559 are 1, 13, 43, 559
The HCF of 379,559 is 1.
Lets's calculate GCF of 379,559
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 379,559 By Matching Biggest Common Factor Method
Now, list down the factors of 379
:1,379
Now, list down the factors of 559
:1,13,43,559
Greatest Common Factor
We found the factors 379,559 . The biggest common factor number is the GCF number.
So the greatest common factor 379,559 is 1.
Lets's calculate LCM of 807,378
| 3 | 807, 378 |
| 269, 126 |
∴ So the LCM of the given numbers is 3 x 269 x 126 = 101682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101682
Therefore, the GCF of Fractions 379/807,559/378 is 1/101682
Least Common Multiple of 807,378 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 807,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,378) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(807,378) x common factors =3 x 1 = 3
LCM(807,378) = ( 807 × 378 ) / 3
LCM(807,378) = 305046 / 3
LCM(807,378) = 101682
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FAQs on GCF of Fractions of 379/807, 559/378
1. What is the HCF of 379,559?
The HCF of 379,559 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 379/807, 559/378?
Answer: GCF of Numerators as per given numbers 379/807, 559/378 is
GCF of Numerators i.e. for 379,559 is 1
LCM of denominators i.e. for 807,378 is 101682.
Thus, GCF of Fractions is 1/101682.Finally, GCF of Fractions for 379/807, 559/378 is 1/101682.