GCF of 920/31, 822/216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 920/31, 822/216 i.e 2/6696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 920/31, 822/216.
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 920/31,822/216?
Given fractions are 920/31,822/216
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 920/31,822/216, numerators are 920,822
Denominators are 31,216
The GCF of 920,822 is 2 .
LCM of 31,216 is 6696.
The greatest common factor of 920/31,822/216 = [GCF of 920,822]/[LCM of 31,216]= 2/6696
Therefore, the GCF of 920/31,822/216 is 2/6696.
To find the highest common factor of 920,822, we have to find the factors of both numbers and list the highest common factor.
The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822
The HCF of 920,822 is 2.
Lets's calculate GCF of 920,822
| 2 | 920, 822 |
| 460, 411 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 920,822 By Matching Biggest Common Factor Method
Now, list down the factors of 920
:1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Now, list down the factors of 822
:1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 920,822 . The biggest common factor number is the GCF number.
So the greatest common factor 920,822 is 2.
Lets's calculate LCM of 31,216
Given numbers has no common factors except 1. So, there LCM is their product i.e 6696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6696
Therefore, the GCF of Fractions 920/31,822/216 is 2/6696
Least Common Multiple of 31,216 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 31,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,216) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,216) x common factors =1 x 1 = 1
LCM(31,216) = ( 31 × 216 ) / 1
LCM(31,216) = 6696 / 1
LCM(31,216) = 6696
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FAQs on GCF of Fractions of 920/31, 822/216
1. What is the HCF of 920,822?
The HCF of 920,822 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 920/31, 822/216?
Answer: GCF of Numerators as per given numbers 920/31, 822/216 is
GCF of Numerators i.e. for 920,822 is 2
LCM of denominators i.e. for 31,216 is 6696.
Thus, GCF of Fractions is 2/6696.Finally, GCF of Fractions for 920/31, 822/216 is 2/6696.