GCF of 374/587, 1207/675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 374/587, 1207/675 i.e 17/396225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 374/587, 1207/675.
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 374/587,1207/675?
Given fractions are 374/587,1207/675
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 374/587,1207/675, numerators are 374,1207
Denominators are 587,675
The GCF of 374,1207 is 17 .
LCM of 587,675 is 396225.
The greatest common factor of 374/587,1207/675 = [GCF of 374,1207]/[LCM of 587,675]= 17/396225
Therefore, the GCF of 374/587,1207/675 is 17/396225.
To find the highest common factor of 374,1207, 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 1207 are 1, 17, 71, 1207
The HCF of 374,1207 is 17.
Lets's calculate GCF of 374,1207
| 17 | 374, 1207 |
| 22, 71 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 374,1207 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 1207
:1,17,71,1207
Greatest Common Factor
We found the factors 374,1207 . The biggest common factor number is the GCF number.
So the greatest common factor 374,1207 is 17.
Lets's calculate LCM of 587,675
Given numbers has no common factors except 1. So, there LCM is their product i.e 396225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/396225
Therefore, the GCF of Fractions 374/587,1207/675 is 17/396225
Least Common Multiple of 587,675 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 587,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,675) x common factors =1 x 1 = 1
LCM(587,675) = ( 587 × 675 ) / 1
LCM(587,675) = 396225 / 1
LCM(587,675) = 396225
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FAQs on GCF of Fractions of 374/587, 1207/675
1. What is the HCF of 374,1207?
The HCF of 374,1207 is 17
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 374/587, 1207/675?
Answer: GCF of Numerators as per given numbers 374/587, 1207/675 is
GCF of Numerators i.e. for 374,1207 is 17
LCM of denominators i.e. for 587,675 is 396225.
Thus, GCF of Fractions is 17/396225.Finally, GCF of Fractions for 374/587, 1207/675 is 17/396225.