GCF of 886/840, 6820/7113
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 886/840, 6820/7113 i.e 2/1991640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/840, 6820/7113.
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 886/840,6820/7113?
Given fractions are 886/840,6820/7113
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 886/840,6820/7113, numerators are 886,6820
Denominators are 840,7113
The GCF of 886,6820 is 2 .
LCM of 840,7113 is 1991640.
The greatest common factor of 886/840,6820/7113 = [GCF of 886,6820]/[LCM of 840,7113]= 2/1991640
Therefore, the GCF of 886/840,6820/7113 is 2/1991640.
To find the highest common factor of 886,6820, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 6820 are 1, 2, 4, 5, 10, 11, 20, 22, 31, 44, 55, 62, 110, 124, 155, 220, 310, 341, 620, 682, 1364, 1705, 3410, 6820
The HCF of 886,6820 is 2.
Lets's calculate GCF of 886,6820
| 2 | 886, 6820 |
| 443, 3410 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 886,6820 By Matching Biggest Common Factor Method
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 6820
:1,2,4,5,10,11,20,22,31,44,55,62,110,124,155,220,310,341,620,682,1364,1705,3410,6820
Greatest Common Factor
We found the factors 886,6820 . The biggest common factor number is the GCF number.
So the greatest common factor 886,6820 is 2.
Lets's calculate LCM of 840,7113
| 3 | 840, 7113 |
| 280, 2371 |
∴ So the LCM of the given numbers is 3 x 280 x 2371 = 1991640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1991640
Therefore, the GCF of Fractions 886/840,6820/7113 is 2/1991640
Least Common Multiple of 840,7113 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 840,7113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,7113) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(840,7113) x common factors =3 x 1 = 3
LCM(840,7113) = ( 840 × 7113 ) / 3
LCM(840,7113) = 5974920 / 3
LCM(840,7113) = 1991640
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FAQs on GCF of Fractions of 886/840, 6820/7113
1. What is the HCF of 886,6820?
The HCF of 886,6820 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 886/840, 6820/7113?
Answer: GCF of Numerators as per given numbers 886/840, 6820/7113 is
GCF of Numerators i.e. for 886,6820 is 2
LCM of denominators i.e. for 840,7113 is 1991640.
Thus, GCF of Fractions is 2/1991640.Finally, GCF of Fractions for 886/840, 6820/7113 is 2/1991640.