GCF of 862/52, 242/4077
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 862/52, 242/4077 i.e 2/212004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 862/52, 242/4077.
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 862/52,242/4077?
Given fractions are 862/52,242/4077
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 862/52,242/4077, numerators are 862,242
Denominators are 52,4077
The GCF of 862,242 is 2 .
LCM of 52,4077 is 212004.
The greatest common factor of 862/52,242/4077 = [GCF of 862,242]/[LCM of 52,4077]= 2/212004
Therefore, the GCF of 862/52,242/4077 is 2/212004.
To find the highest common factor of 862,242, we have to find the factors of both numbers and list the highest common factor.
The factors of 862 are 1, 2, 431, 862
The factors of 242 are 1, 2, 11, 22, 121, 242
The HCF of 862,242 is 2.
Lets's calculate GCF of 862,242
| 2 | 862, 242 |
| 431, 121 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 862,242 By Matching Biggest Common Factor Method
Now, list down the factors of 862
:1,2,431,862
Now, list down the factors of 242
:1,2,11,22,121,242
Greatest Common Factor
We found the factors 862,242 . The biggest common factor number is the GCF number.
So the greatest common factor 862,242 is 2.
Lets's calculate LCM of 52,4077
Given numbers has no common factors except 1. So, there LCM is their product i.e 212004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/212004
Therefore, the GCF of Fractions 862/52,242/4077 is 2/212004
Least Common Multiple of 52,4077 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 52,4077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,4077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,4077) x common factors =1 x 1 = 1
LCM(52,4077) = ( 52 × 4077 ) / 1
LCM(52,4077) = 212004 / 1
LCM(52,4077) = 212004
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FAQs on GCF of Fractions of 862/52, 242/4077
1. What is the HCF of 862,242?
The HCF of 862,242 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 862/52, 242/4077?
Answer: GCF of Numerators as per given numbers 862/52, 242/4077 is
GCF of Numerators i.e. for 862,242 is 2
LCM of denominators i.e. for 52,4077 is 212004.
Thus, GCF of Fractions is 2/212004.Finally, GCF of Fractions for 862/52, 242/4077 is 2/212004.