GCF of 374/109, 702/345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 374/109, 702/345 i.e 2/37605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 374/109, 702/345.
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 374/109,702/345?
Given fractions are 374/109,702/345
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 374/109,702/345, numerators are 374,702
Denominators are 109,345
The GCF of 374,702 is 2 .
LCM of 109,345 is 37605.
The greatest common factor of 374/109,702/345 = [GCF of 374,702]/[LCM of 109,345]= 2/37605
Therefore, the GCF of 374/109,702/345 is 2/37605.
To find the highest common factor of 374,702, we have to find the factors of both numbers and list the highest common factor.
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374
The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
The HCF of 374,702 is 2.
Lets's calculate GCF of 374,702
| 2 | 374, 702 |
| 187, 351 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 374,702 By Matching Biggest Common Factor Method
Now, list down the factors of 374
:1,2,11,17,22,34,187,374
Now, list down the factors of 702
:1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 374,702 . The biggest common factor number is the GCF number.
So the greatest common factor 374,702 is 2.
Lets's calculate LCM of 109,345
Given numbers has no common factors except 1. So, there LCM is their product i.e 37605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37605
Therefore, the GCF of Fractions 374/109,702/345 is 2/37605
Least Common Multiple of 109,345 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 109,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,345) x common factors =1 x 1 = 1
LCM(109,345) = ( 109 × 345 ) / 1
LCM(109,345) = 37605 / 1
LCM(109,345) = 37605
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FAQs on GCF of Fractions of 374/109, 702/345
1. What is the HCF of 374,702?
The HCF of 374,702 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 374/109, 702/345?
Answer: GCF of Numerators as per given numbers 374/109, 702/345 is
GCF of Numerators i.e. for 374,702 is 2
LCM of denominators i.e. for 109,345 is 37605.
Thus, GCF of Fractions is 2/37605.Finally, GCF of Fractions for 374/109, 702/345 is 2/37605.