GCF of 799/431, 420/642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 799/431, 420/642 i.e 1/276702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 799/431, 420/642.
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 799/431,420/642?
Given fractions are 799/431,420/642
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 799/431,420/642, numerators are 799,420
Denominators are 431,642
The GCF of 799,420 is 1 .
LCM of 431,642 is 276702.
The greatest common factor of 799/431,420/642 = [GCF of 799,420]/[LCM of 431,642]= 1/276702
Therefore, the GCF of 799/431,420/642 is 1/276702.
To find the highest common factor of 799,420, we have to find the factors of both numbers and list the highest common factor.
The factors of 799 are 1, 17, 47, 799
The factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
The HCF of 799,420 is 1.
Lets's calculate GCF of 799,420
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 799,420 By Matching Biggest Common Factor Method
Now, list down the factors of 799
:1,17,47,799
Now, list down the factors of 420
:1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 799,420 . The biggest common factor number is the GCF number.
So the greatest common factor 799,420 is 1.
Lets's calculate LCM of 431,642
Given numbers has no common factors except 1. So, there LCM is their product i.e 276702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276702
Therefore, the GCF of Fractions 799/431,420/642 is 1/276702
Least Common Multiple of 431,642 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 431,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,642) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,642) x common factors =1 x 1 = 1
LCM(431,642) = ( 431 × 642 ) / 1
LCM(431,642) = 276702 / 1
LCM(431,642) = 276702
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FAQs on GCF of Fractions of 799/431, 420/642
1. What is the HCF of 799,420?
The HCF of 799,420 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 799/431, 420/642?
Answer: GCF of Numerators as per given numbers 799/431, 420/642 is
GCF of Numerators i.e. for 799,420 is 1
LCM of denominators i.e. for 431,642 is 276702.
Thus, GCF of Fractions is 1/276702.Finally, GCF of Fractions for 799/431, 420/642 is 1/276702.