GCF of 2242/376, 8220/454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2242/376, 8220/454 i.e 2/85352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2242/376, 8220/454.
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 2242/376,8220/454?
Given fractions are 2242/376,8220/454
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 2242/376,8220/454, numerators are 2242,8220
Denominators are 376,454
The GCF of 2242,8220 is 2 .
LCM of 376,454 is 85352.
The greatest common factor of 2242/376,8220/454 = [GCF of 2242,8220]/[LCM of 376,454]= 2/85352
Therefore, the GCF of 2242/376,8220/454 is 2/85352.
To find the highest common factor of 2242,8220, we have to find the factors of both numbers and list the highest common factor.
The factors of 2242 are 1, 2, 19, 38, 59, 118, 1121, 2242
The factors of 8220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220
The HCF of 2242,8220 is 2.
Lets's calculate GCF of 2242,8220
| 2 | 2242, 8220 |
| 1121, 4110 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2242,8220 By Matching Biggest Common Factor Method
Now, list down the factors of 2242
:1,2,19,38,59,118,1121,2242
Now, list down the factors of 8220
:1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220
Greatest Common Factor
We found the factors 2242,8220 . The biggest common factor number is the GCF number.
So the greatest common factor 2242,8220 is 2.
Lets's calculate LCM of 376,454
| 2 | 376, 454 |
| 188, 227 |
∴ So the LCM of the given numbers is 2 x 188 x 227 = 85352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/85352
Therefore, the GCF of Fractions 2242/376,8220/454 is 2/85352
Least Common Multiple of 376,454 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 376,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,454) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(376,454) x common factors =2 x 1 = 2
LCM(376,454) = ( 376 × 454 ) / 2
LCM(376,454) = 170704 / 2
LCM(376,454) = 85352
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FAQs on GCF of Fractions of 2242/376, 8220/454
1. What is the HCF of 2242,8220?
The HCF of 2242,8220 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 2242/376, 8220/454?
Answer: GCF of Numerators as per given numbers 2242/376, 8220/454 is
GCF of Numerators i.e. for 2242,8220 is 2
LCM of denominators i.e. for 376,454 is 85352.
Thus, GCF of Fractions is 2/85352.Finally, GCF of Fractions for 2242/376, 8220/454 is 2/85352.