GCF of 1240/342, 4054/8472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1240/342, 4054/8472 i.e 2/482904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1240/342, 4054/8472.
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 1240/342,4054/8472?
Given fractions are 1240/342,4054/8472
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 1240/342,4054/8472, numerators are 1240,4054
Denominators are 342,8472
The GCF of 1240,4054 is 2 .
LCM of 342,8472 is 482904.
The greatest common factor of 1240/342,4054/8472 = [GCF of 1240,4054]/[LCM of 342,8472]= 2/482904
Therefore, the GCF of 1240/342,4054/8472 is 2/482904.
To find the highest common factor of 1240,4054, we have to find the factors of both numbers and list the highest common factor.
The factors of 1240 are 1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240
The factors of 4054 are 1, 2, 2027, 4054
The HCF of 1240,4054 is 2.
Lets's calculate GCF of 1240,4054
| 2 | 1240, 4054 |
| 620, 2027 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1240,4054 By Matching Biggest Common Factor Method
Now, list down the factors of 1240
:1,2,4,5,8,10,20,31,40,62,124,155,248,310,620,1240
Now, list down the factors of 4054
:1,2,2027,4054
Greatest Common Factor
We found the factors 1240,4054 . The biggest common factor number is the GCF number.
So the greatest common factor 1240,4054 is 2.
Lets's calculate LCM of 342,8472
| 2 | 342, 8472 |
| 3 | 171, 4236 |
| 57, 1412 |
∴ So the LCM of the given numbers is 2 x 3 x 57 x 1412 = 482904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/482904
Therefore, the GCF of Fractions 1240/342,4054/8472 is 2/482904
Least Common Multiple of 342,8472 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 342,8472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,8472) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(342,8472) x common factors =6 x 1 = 6
LCM(342,8472) = ( 342 × 8472 ) / 6
LCM(342,8472) = 2897424 / 6
LCM(342,8472) = 482904
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FAQs on GCF of Fractions of 1240/342, 4054/8472
1. What is the HCF of 1240,4054?
The HCF of 1240,4054 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 1240/342, 4054/8472?
Answer: GCF of Numerators as per given numbers 1240/342, 4054/8472 is
GCF of Numerators i.e. for 1240,4054 is 2
LCM of denominators i.e. for 342,8472 is 482904.
Thus, GCF of Fractions is 2/482904.Finally, GCF of Fractions for 1240/342, 4054/8472 is 2/482904.