GCF of 374/21, 602/638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 374/21, 602/638 i.e 2/13398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 374/21, 602/638.
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 374/21,602/638?
Given fractions are 374/21,602/638
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 374/21,602/638, numerators are 374,602
Denominators are 21,638
The GCF of 374,602 is 2 .
LCM of 21,638 is 13398.
The greatest common factor of 374/21,602/638 = [GCF of 374,602]/[LCM of 21,638]= 2/13398
Therefore, the GCF of 374/21,602/638 is 2/13398.
To find the highest common factor of 374,602, 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 602 are 1, 2, 7, 14, 43, 86, 301, 602
The HCF of 374,602 is 2.
Lets's calculate GCF of 374,602
| 2 | 374, 602 |
| 187, 301 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 374,602 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 602
:1,2,7,14,43,86,301,602
Greatest Common Factor
We found the factors 374,602 . The biggest common factor number is the GCF number.
So the greatest common factor 374,602 is 2.
Lets's calculate LCM of 21,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 13398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13398
Therefore, the GCF of Fractions 374/21,602/638 is 2/13398
Least Common Multiple of 21,638 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 21,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,638) x common factors =1 x 1 = 1
LCM(21,638) = ( 21 × 638 ) / 1
LCM(21,638) = 13398 / 1
LCM(21,638) = 13398
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FAQs on GCF of Fractions of 374/21, 602/638
1. What is the HCF of 374,602?
The HCF of 374,602 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 374/21, 602/638?
Answer: GCF of Numerators as per given numbers 374/21, 602/638 is
GCF of Numerators i.e. for 374,602 is 2
LCM of denominators i.e. for 21,638 is 13398.
Thus, GCF of Fractions is 2/13398.Finally, GCF of Fractions for 374/21, 602/638 is 2/13398.