GCF of 3400/127, 2134/517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3400/127, 2134/517 i.e 2/65659 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3400/127, 2134/517.
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 3400/127,2134/517?
Given fractions are 3400/127,2134/517
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 3400/127,2134/517, numerators are 3400,2134
Denominators are 127,517
The GCF of 3400,2134 is 2 .
LCM of 127,517 is 65659.
The greatest common factor of 3400/127,2134/517 = [GCF of 3400,2134]/[LCM of 127,517]= 2/65659
Therefore, the GCF of 3400/127,2134/517 is 2/65659.
To find the highest common factor of 3400,2134, we have to find the factors of both numbers and list the highest common factor.
The factors of 3400 are 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700, 3400
The factors of 2134 are 1, 2, 11, 22, 97, 194, 1067, 2134
The HCF of 3400,2134 is 2.
Lets's calculate GCF of 3400,2134
| 2 | 3400, 2134 |
| 1700, 1067 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3400,2134 By Matching Biggest Common Factor Method
Now, list down the factors of 3400
:1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400
Now, list down the factors of 2134
:1,2,11,22,97,194,1067,2134
Greatest Common Factor
We found the factors 3400,2134 . The biggest common factor number is the GCF number.
So the greatest common factor 3400,2134 is 2.
Lets's calculate LCM of 127,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 65659
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/65659
Therefore, the GCF of Fractions 3400/127,2134/517 is 2/65659
Least Common Multiple of 127,517 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 127,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,517) x common factors =1 x 1 = 1
LCM(127,517) = ( 127 × 517 ) / 1
LCM(127,517) = 65659 / 1
LCM(127,517) = 65659
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FAQs on GCF of Fractions of 3400/127, 2134/517
1. What is the HCF of 3400,2134?
The HCF of 3400,2134 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 3400/127, 2134/517?
Answer: GCF of Numerators as per given numbers 3400/127, 2134/517 is
GCF of Numerators i.e. for 3400,2134 is 2
LCM of denominators i.e. for 127,517 is 65659.
Thus, GCF of Fractions is 2/65659.Finally, GCF of Fractions for 3400/127, 2134/517 is 2/65659.