GCF of 922/93, 208/420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 922/93, 208/420 i.e 2/13020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 922/93, 208/420.
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 922/93,208/420?
Given fractions are 922/93,208/420
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 922/93,208/420, numerators are 922,208
Denominators are 93,420
The GCF of 922,208 is 2 .
LCM of 93,420 is 13020.
The greatest common factor of 922/93,208/420 = [GCF of 922,208]/[LCM of 93,420]= 2/13020
Therefore, the GCF of 922/93,208/420 is 2/13020.
To find the highest common factor of 922,208, we have to find the factors of both numbers and list the highest common factor.
The factors of 922 are 1, 2, 461, 922
The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
The HCF of 922,208 is 2.
Lets's calculate GCF of 922,208
| 2 | 922, 208 |
| 461, 104 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 922,208 By Matching Biggest Common Factor Method
Now, list down the factors of 922
:1,2,461,922
Now, list down the factors of 208
:1,2,4,8,13,16,26,52,104,208
Greatest Common Factor
We found the factors 922,208 . The biggest common factor number is the GCF number.
So the greatest common factor 922,208 is 2.
Lets's calculate LCM of 93,420
| 3 | 93, 420 |
| 31, 140 |
∴ So the LCM of the given numbers is 3 x 31 x 140 = 13020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13020
Therefore, the GCF of Fractions 922/93,208/420 is 2/13020
Least Common Multiple of 93,420 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 93,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,420) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,420) x common factors =3 x 1 = 3
LCM(93,420) = ( 93 × 420 ) / 3
LCM(93,420) = 39060 / 3
LCM(93,420) = 13020
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FAQs on GCF of Fractions of 922/93, 208/420
1. What is the HCF of 922,208?
The HCF of 922,208 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 922/93, 208/420?
Answer: GCF of Numerators as per given numbers 922/93, 208/420 is
GCF of Numerators i.e. for 922,208 is 2
LCM of denominators i.e. for 93,420 is 13020.
Thus, GCF of Fractions is 2/13020.Finally, GCF of Fractions for 922/93, 208/420 is 2/13020.