GCF of 851/724, 799/686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 851/724, 799/686 i.e 1/248332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 851/724, 799/686.
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 851/724,799/686?
Given fractions are 851/724,799/686
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 851/724,799/686, numerators are 851,799
Denominators are 724,686
The GCF of 851,799 is 1 .
LCM of 724,686 is 248332.
The greatest common factor of 851/724,799/686 = [GCF of 851,799]/[LCM of 724,686]= 1/248332
Therefore, the GCF of 851/724,799/686 is 1/248332.
To find the highest common factor of 851,799, we have to find the factors of both numbers and list the highest common factor.
The factors of 851 are 1, 23, 37, 851
The factors of 799 are 1, 17, 47, 799
The HCF of 851,799 is 1.
Lets's calculate GCF of 851,799
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 851,799 By Matching Biggest Common Factor Method
Now, list down the factors of 851
:1,23,37,851
Now, list down the factors of 799
:1,17,47,799
Greatest Common Factor
We found the factors 851,799 . The biggest common factor number is the GCF number.
So the greatest common factor 851,799 is 1.
Lets's calculate LCM of 724,686
| 2 | 724, 686 |
| 362, 343 |
∴ So the LCM of the given numbers is 2 x 362 x 343 = 248332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248332
Therefore, the GCF of Fractions 851/724,799/686 is 1/248332
Least Common Multiple of 724,686 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 724,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,686) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,686) x common factors =2 x 1 = 2
LCM(724,686) = ( 724 × 686 ) / 2
LCM(724,686) = 496664 / 2
LCM(724,686) = 248332
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FAQs on GCF of Fractions of 851/724, 799/686
1. What is the HCF of 851,799?
The HCF of 851,799 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 851/724, 799/686?
Answer: GCF of Numerators as per given numbers 851/724, 799/686 is
GCF of Numerators i.e. for 851,799 is 1
LCM of denominators i.e. for 724,686 is 248332.
Thus, GCF of Fractions is 1/248332.Finally, GCF of Fractions for 851/724, 799/686 is 1/248332.