GCF of 2118/381, 7682/667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2118/381, 7682/667 i.e 2/254127 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2118/381, 7682/667.
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 2118/381,7682/667?
Given fractions are 2118/381,7682/667
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 2118/381,7682/667, numerators are 2118,7682
Denominators are 381,667
The GCF of 2118,7682 is 2 .
LCM of 381,667 is 254127.
The greatest common factor of 2118/381,7682/667 = [GCF of 2118,7682]/[LCM of 381,667]= 2/254127
Therefore, the GCF of 2118/381,7682/667 is 2/254127.
To find the highest common factor of 2118,7682, we have to find the factors of both numbers and list the highest common factor.
The factors of 2118 are 1, 2, 3, 6, 353, 706, 1059, 2118
The factors of 7682 are 1, 2, 23, 46, 167, 334, 3841, 7682
The HCF of 2118,7682 is 2.
Lets's calculate GCF of 2118,7682
| 2 | 2118, 7682 |
| 1059, 3841 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2118,7682 By Matching Biggest Common Factor Method
Now, list down the factors of 2118
:1,2,3,6,353,706,1059,2118
Now, list down the factors of 7682
:1,2,23,46,167,334,3841,7682
Greatest Common Factor
We found the factors 2118,7682 . The biggest common factor number is the GCF number.
So the greatest common factor 2118,7682 is 2.
Lets's calculate LCM of 381,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 254127
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/254127
Therefore, the GCF of Fractions 2118/381,7682/667 is 2/254127
Least Common Multiple of 381,667 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 381,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(381,667) x common factors =1 x 1 = 1
LCM(381,667) = ( 381 × 667 ) / 1
LCM(381,667) = 254127 / 1
LCM(381,667) = 254127
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FAQs on GCF of Fractions of 2118/381, 7682/667
1. What is the HCF of 2118,7682?
The HCF of 2118,7682 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 2118/381, 7682/667?
Answer: GCF of Numerators as per given numbers 2118/381, 7682/667 is
GCF of Numerators i.e. for 2118,7682 is 2
LCM of denominators i.e. for 381,667 is 254127.
Thus, GCF of Fractions is 2/254127.Finally, GCF of Fractions for 2118/381, 7682/667 is 2/254127.