GCF of 6882/142, 1767/151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6882/142, 1767/151 i.e 93/21442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6882/142, 1767/151.
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 6882/142,1767/151?
Given fractions are 6882/142,1767/151
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 6882/142,1767/151, numerators are 6882,1767
Denominators are 142,151
The GCF of 6882,1767 is 93 .
LCM of 142,151 is 21442.
The greatest common factor of 6882/142,1767/151 = [GCF of 6882,1767]/[LCM of 142,151]= 93/21442
Therefore, the GCF of 6882/142,1767/151 is 93/21442.
To find the highest common factor of 6882,1767, we have to find the factors of both numbers and list the highest common factor.
The factors of 6882 are 1, 2, 3, 6, 31, 37, 62, 74, 93, 111, 186, 222, 1147, 2294, 3441, 6882
The factors of 1767 are 1, 3, 19, 31, 57, 93, 589, 1767
The HCF of 6882,1767 is 93.
Lets's calculate GCF of 6882,1767
| 3 | 6882, 1767 |
| 31 | 2294, 589 |
| 74, 19 |
∴ So the GCF of the given numbers is 3 x 31 = 93
Greatest Common Factor of 6882,1767 By Matching Biggest Common Factor Method
Now, list down the factors of 6882
:1,2,3,6,31,37,62,74,93,111,186,222,1147,2294,3441,6882
Now, list down the factors of 1767
:1,3,19,31,57,93,589,1767
Greatest Common Factor
We found the factors 6882,1767 . The biggest common factor number is the GCF number.
So the greatest common factor 6882,1767 is 93.
Lets's calculate LCM of 142,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 21442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 93/21442
Therefore, the GCF of Fractions 6882/142,1767/151 is 93/21442
Least Common Multiple of 142,151 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 142,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(142,151) x common factors =1 x 1 = 1
LCM(142,151) = ( 142 × 151 ) / 1
LCM(142,151) = 21442 / 1
LCM(142,151) = 21442
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FAQs on GCF of Fractions of 6882/142, 1767/151
1. What is the HCF of 6882,1767?
The HCF of 6882,1767 is 93
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 6882/142, 1767/151?
Answer: GCF of Numerators as per given numbers 6882/142, 1767/151 is
GCF of Numerators i.e. for 6882,1767 is 93
LCM of denominators i.e. for 142,151 is 21442.
Thus, GCF of Fractions is 93/21442.Finally, GCF of Fractions for 6882/142, 1767/151 is 93/21442.