GCF of 8672/542, 7062/6840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8672/542, 7062/6840 i.e 2/1853640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8672/542, 7062/6840.
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 8672/542,7062/6840?
Given fractions are 8672/542,7062/6840
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 8672/542,7062/6840, numerators are 8672,7062
Denominators are 542,6840
The GCF of 8672,7062 is 2 .
LCM of 542,6840 is 1853640.
The greatest common factor of 8672/542,7062/6840 = [GCF of 8672,7062]/[LCM of 542,6840]= 2/1853640
Therefore, the GCF of 8672/542,7062/6840 is 2/1853640.
To find the highest common factor of 8672,7062, we have to find the factors of both numbers and list the highest common factor.
The factors of 8672 are 1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336, 8672
The factors of 7062 are 1, 2, 3, 6, 11, 22, 33, 66, 107, 214, 321, 642, 1177, 2354, 3531, 7062
The HCF of 8672,7062 is 2.
Lets's calculate GCF of 8672,7062
| 2 | 8672, 7062 |
| 4336, 3531 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8672,7062 By Matching Biggest Common Factor Method
Now, list down the factors of 8672
:1,2,4,8,16,32,271,542,1084,2168,4336,8672
Now, list down the factors of 7062
:1,2,3,6,11,22,33,66,107,214,321,642,1177,2354,3531,7062
Greatest Common Factor
We found the factors 8672,7062 . The biggest common factor number is the GCF number.
So the greatest common factor 8672,7062 is 2.
Lets's calculate LCM of 542,6840
| 2 | 542, 6840 |
| 271, 3420 |
∴ So the LCM of the given numbers is 2 x 271 x 3420 = 1853640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1853640
Therefore, the GCF of Fractions 8672/542,7062/6840 is 2/1853640
Least Common Multiple of 542,6840 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 542,6840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,6840) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(542,6840) x common factors =2 x 1 = 2
LCM(542,6840) = ( 542 × 6840 ) / 2
LCM(542,6840) = 3707280 / 2
LCM(542,6840) = 1853640
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8672/542, 7062/6840
1. What is the HCF of 8672,7062?
The HCF of 8672,7062 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 8672/542, 7062/6840?
Answer: GCF of Numerators as per given numbers 8672/542, 7062/6840 is
GCF of Numerators i.e. for 8672,7062 is 2
LCM of denominators i.e. for 542,6840 is 1853640.
Thus, GCF of Fractions is 2/1853640.Finally, GCF of Fractions for 8672/542, 7062/6840 is 2/1853640.