GCF of 3265/988, 8374/7004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3265/988, 8374/7004 i.e 1/1729988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3265/988, 8374/7004.
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 3265/988,8374/7004?
Given fractions are 3265/988,8374/7004
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 3265/988,8374/7004, numerators are 3265,8374
Denominators are 988,7004
The GCF of 3265,8374 is 1 .
LCM of 988,7004 is 1729988.
The greatest common factor of 3265/988,8374/7004 = [GCF of 3265,8374]/[LCM of 988,7004]= 1/1729988
Therefore, the GCF of 3265/988,8374/7004 is 1/1729988.
To find the highest common factor of 3265,8374, we have to find the factors of both numbers and list the highest common factor.
The factors of 3265 are 1, 5, 653, 3265
The factors of 8374 are 1, 2, 53, 79, 106, 158, 4187, 8374
The HCF of 3265,8374 is 1.
Lets's calculate GCF of 3265,8374
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3265,8374 By Matching Biggest Common Factor Method
Now, list down the factors of 3265
:1,5,653,3265
Now, list down the factors of 8374
:1,2,53,79,106,158,4187,8374
Greatest Common Factor
We found the factors 3265,8374 . The biggest common factor number is the GCF number.
So the greatest common factor 3265,8374 is 1.
Lets's calculate LCM of 988,7004
| 2 | 988, 7004 |
| 2 | 494, 3502 |
| 247, 1751 |
∴ So the LCM of the given numbers is 2 x 2 x 247 x 1751 = 1729988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1729988
Therefore, the GCF of Fractions 3265/988,8374/7004 is 1/1729988
Least Common Multiple of 988,7004 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 988,7004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,7004) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(988,7004) x common factors =4 x 1 = 4
LCM(988,7004) = ( 988 × 7004 ) / 4
LCM(988,7004) = 6919952 / 4
LCM(988,7004) = 1729988
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FAQs on GCF of Fractions of 3265/988, 8374/7004
1. What is the HCF of 3265,8374?
The HCF of 3265,8374 is 1
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 3265/988, 8374/7004?
Answer: GCF of Numerators as per given numbers 3265/988, 8374/7004 is
GCF of Numerators i.e. for 3265,8374 is 1
LCM of denominators i.e. for 988,7004 is 1729988.
Thus, GCF of Fractions is 1/1729988.Finally, GCF of Fractions for 3265/988, 8374/7004 is 1/1729988.