GCF of 1688/427, 8334/2171
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1688/427, 8334/2171 i.e 2/927017 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1688/427, 8334/2171.
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 1688/427,8334/2171?
Given fractions are 1688/427,8334/2171
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 1688/427,8334/2171, numerators are 1688,8334
Denominators are 427,2171
The GCF of 1688,8334 is 2 .
LCM of 427,2171 is 927017.
The greatest common factor of 1688/427,8334/2171 = [GCF of 1688,8334]/[LCM of 427,2171]= 2/927017
Therefore, the GCF of 1688/427,8334/2171 is 2/927017.
To find the highest common factor of 1688,8334, we have to find the factors of both numbers and list the highest common factor.
The factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688
The factors of 8334 are 1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167, 8334
The HCF of 1688,8334 is 2.
Lets's calculate GCF of 1688,8334
| 2 | 1688, 8334 |
| 844, 4167 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1688,8334 By Matching Biggest Common Factor Method
Now, list down the factors of 1688
:1,2,4,8,211,422,844,1688
Now, list down the factors of 8334
:1,2,3,6,9,18,463,926,1389,2778,4167,8334
Greatest Common Factor
We found the factors 1688,8334 . The biggest common factor number is the GCF number.
So the greatest common factor 1688,8334 is 2.
Lets's calculate LCM of 427,2171
Given numbers has no common factors except 1. So, there LCM is their product i.e 927017
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/927017
Therefore, the GCF of Fractions 1688/427,8334/2171 is 2/927017
Least Common Multiple of 427,2171 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 427,2171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,2171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,2171) x common factors =1 x 1 = 1
LCM(427,2171) = ( 427 × 2171 ) / 1
LCM(427,2171) = 927017 / 1
LCM(427,2171) = 927017
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FAQs on GCF of Fractions of 1688/427, 8334/2171
1. What is the HCF of 1688,8334?
The HCF of 1688,8334 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 1688/427, 8334/2171?
Answer: GCF of Numerators as per given numbers 1688/427, 8334/2171 is
GCF of Numerators i.e. for 1688,8334 is 2
LCM of denominators i.e. for 427,2171 is 927017.
Thus, GCF of Fractions is 2/927017.Finally, GCF of Fractions for 1688/427, 8334/2171 is 2/927017.