GCF of 5222/452, 2120/642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5222/452, 2120/642 i.e 2/145092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5222/452, 2120/642.
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 5222/452,2120/642?
Given fractions are 5222/452,2120/642
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 5222/452,2120/642, numerators are 5222,2120
Denominators are 452,642
The GCF of 5222,2120 is 2 .
LCM of 452,642 is 145092.
The greatest common factor of 5222/452,2120/642 = [GCF of 5222,2120]/[LCM of 452,642]= 2/145092
Therefore, the GCF of 5222/452,2120/642 is 2/145092.
To find the highest common factor of 5222,2120, we have to find the factors of both numbers and list the highest common factor.
The factors of 5222 are 1, 2, 7, 14, 373, 746, 2611, 5222
The factors of 2120 are 1, 2, 4, 5, 8, 10, 20, 40, 53, 106, 212, 265, 424, 530, 1060, 2120
The HCF of 5222,2120 is 2.
Lets's calculate GCF of 5222,2120
| 2 | 5222, 2120 |
| 2611, 1060 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5222,2120 By Matching Biggest Common Factor Method
Now, list down the factors of 5222
:1,2,7,14,373,746,2611,5222
Now, list down the factors of 2120
:1,2,4,5,8,10,20,40,53,106,212,265,424,530,1060,2120
Greatest Common Factor
We found the factors 5222,2120 . The biggest common factor number is the GCF number.
So the greatest common factor 5222,2120 is 2.
Lets's calculate LCM of 452,642
| 2 | 452, 642 |
| 226, 321 |
∴ So the LCM of the given numbers is 2 x 226 x 321 = 145092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/145092
Therefore, the GCF of Fractions 5222/452,2120/642 is 2/145092
Least Common Multiple of 452,642 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 452,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(452,642) x common factors =2 x 1 = 2
LCM(452,642) = ( 452 × 642 ) / 2
LCM(452,642) = 290184 / 2
LCM(452,642) = 145092
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FAQs on GCF of Fractions of 5222/452, 2120/642
1. What is the HCF of 5222,2120?
The HCF of 5222,2120 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 5222/452, 2120/642?
Answer: GCF of Numerators as per given numbers 5222/452, 2120/642 is
GCF of Numerators i.e. for 5222,2120 is 2
LCM of denominators i.e. for 452,642 is 145092.
Thus, GCF of Fractions is 2/145092.Finally, GCF of Fractions for 5222/452, 2120/642 is 2/145092.