GCF of 4152/642, 2166/1078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4152/642, 2166/1078 i.e 6/346038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4152/642, 2166/1078.
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 4152/642,2166/1078?
Given fractions are 4152/642,2166/1078
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 4152/642,2166/1078, numerators are 4152,2166
Denominators are 642,1078
The GCF of 4152,2166 is 6 .
LCM of 642,1078 is 346038.
The greatest common factor of 4152/642,2166/1078 = [GCF of 4152,2166]/[LCM of 642,1078]= 6/346038
Therefore, the GCF of 4152/642,2166/1078 is 6/346038.
To find the highest common factor of 4152,2166, we have to find the factors of both numbers and list the highest common factor.
The factors of 4152 are 1, 2, 3, 4, 6, 8, 12, 24, 173, 346, 519, 692, 1038, 1384, 2076, 4152
The factors of 2166 are 1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166
The HCF of 4152,2166 is 6.
Lets's calculate GCF of 4152,2166
| 2 | 4152, 2166 |
| 3 | 2076, 1083 |
| 692, 361 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4152,2166 By Matching Biggest Common Factor Method
Now, list down the factors of 4152
:1,2,3,4,6,8,12,24,173,346,519,692,1038,1384,2076,4152
Now, list down the factors of 2166
:1,2,3,6,19,38,57,114,361,722,1083,2166
Greatest Common Factor
We found the factors 4152,2166 . The biggest common factor number is the GCF number.
So the greatest common factor 4152,2166 is 6.
Lets's calculate LCM of 642,1078
| 2 | 642, 1078 |
| 321, 539 |
∴ So the LCM of the given numbers is 2 x 321 x 539 = 346038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/346038
Therefore, the GCF of Fractions 4152/642,2166/1078 is 6/346038
Least Common Multiple of 642,1078 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 642,1078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,1078) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(642,1078) x common factors =2 x 1 = 2
LCM(642,1078) = ( 642 × 1078 ) / 2
LCM(642,1078) = 692076 / 2
LCM(642,1078) = 346038
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FAQs on GCF of Fractions of 4152/642, 2166/1078
1. What is the HCF of 4152,2166?
The HCF of 4152,2166 is 6
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 4152/642, 2166/1078?
Answer: GCF of Numerators as per given numbers 4152/642, 2166/1078 is
GCF of Numerators i.e. for 4152,2166 is 6
LCM of denominators i.e. for 642,1078 is 346038.
Thus, GCF of Fractions is 6/346038.Finally, GCF of Fractions for 4152/642, 2166/1078 is 6/346038.