GCF of 4054/342, 3560/9975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4054/342, 3560/9975 i.e 2/59850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4054/342, 3560/9975.
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 4054/342,3560/9975?
Given fractions are 4054/342,3560/9975
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 4054/342,3560/9975, numerators are 4054,3560
Denominators are 342,9975
The GCF of 4054,3560 is 2 .
LCM of 342,9975 is 59850.
The greatest common factor of 4054/342,3560/9975 = [GCF of 4054,3560]/[LCM of 342,9975]= 2/59850
Therefore, the GCF of 4054/342,3560/9975 is 2/59850.
To find the highest common factor of 4054,3560, we have to find the factors of both numbers and list the highest common factor.
The factors of 4054 are 1, 2, 2027, 4054
The factors of 3560 are 1, 2, 4, 5, 8, 10, 20, 40, 89, 178, 356, 445, 712, 890, 1780, 3560
The HCF of 4054,3560 is 2.
Lets's calculate GCF of 4054,3560
| 2 | 4054, 3560 |
| 2027, 1780 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4054,3560 By Matching Biggest Common Factor Method
Now, list down the factors of 4054
:1,2,2027,4054
Now, list down the factors of 3560
:1,2,4,5,8,10,20,40,89,178,356,445,712,890,1780,3560
Greatest Common Factor
We found the factors 4054,3560 . The biggest common factor number is the GCF number.
So the greatest common factor 4054,3560 is 2.
Lets's calculate LCM of 342,9975
| 3 | 342, 9975 |
| 19 | 114, 3325 |
| 6, 175 |
∴ So the LCM of the given numbers is 3 x 19 x 6 x 175 = 59850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59850
Therefore, the GCF of Fractions 4054/342,3560/9975 is 2/59850
Least Common Multiple of 342,9975 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 342,9975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,9975) = 57
common factors(in case of two or more numbers have common factors) = 1
GCF(342,9975) x common factors =57 x 1 = 57
LCM(342,9975) = ( 342 × 9975 ) / 57
LCM(342,9975) = 3411450 / 57
LCM(342,9975) = 59850
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FAQs on GCF of Fractions of 4054/342, 3560/9975
1. What is the HCF of 4054,3560?
The HCF of 4054,3560 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 4054/342, 3560/9975?
Answer: GCF of Numerators as per given numbers 4054/342, 3560/9975 is
GCF of Numerators i.e. for 4054,3560 is 2
LCM of denominators i.e. for 342,9975 is 59850.
Thus, GCF of Fractions is 2/59850.Finally, GCF of Fractions for 4054/342, 3560/9975 is 2/59850.