GCF of 674/17, 102/519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 674/17, 102/519 i.e 2/8823 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/17, 102/519.
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 674/17,102/519?
Given fractions are 674/17,102/519
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 674/17,102/519, numerators are 674,102
Denominators are 17,519
The GCF of 674,102 is 2 .
LCM of 17,519 is 8823.
The greatest common factor of 674/17,102/519 = [GCF of 674,102]/[LCM of 17,519]= 2/8823
Therefore, the GCF of 674/17,102/519 is 2/8823.
To find the highest common factor of 674,102, we have to find the factors of both numbers and list the highest common factor.
The factors of 674 are 1, 2, 337, 674
The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102
The HCF of 674,102 is 2.
Lets's calculate GCF of 674,102
| 2 | 674, 102 |
| 337, 51 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 674,102 By Matching Biggest Common Factor Method
Now, list down the factors of 674
:1,2,337,674
Now, list down the factors of 102
:1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 674,102 . The biggest common factor number is the GCF number.
So the greatest common factor 674,102 is 2.
Lets's calculate LCM of 17,519
Given numbers has no common factors except 1. So, there LCM is their product i.e 8823
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8823
Therefore, the GCF of Fractions 674/17,102/519 is 2/8823
Least Common Multiple of 17,519 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 17,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,519) x common factors =1 x 1 = 1
LCM(17,519) = ( 17 × 519 ) / 1
LCM(17,519) = 8823 / 1
LCM(17,519) = 8823
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FAQs on GCF of Fractions of 674/17, 102/519
1. What is the HCF of 674,102?
The HCF of 674,102 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 674/17, 102/519?
Answer: GCF of Numerators as per given numbers 674/17, 102/519 is
GCF of Numerators i.e. for 674,102 is 2
LCM of denominators i.e. for 17,519 is 8823.
Thus, GCF of Fractions is 2/8823.Finally, GCF of Fractions for 674/17, 102/519 is 2/8823.