GCF of 2651/604, 8734/217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2651/604, 8734/217 i.e 11/131068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2651/604, 8734/217.
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 2651/604,8734/217?
Given fractions are 2651/604,8734/217
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 2651/604,8734/217, numerators are 2651,8734
Denominators are 604,217
The GCF of 2651,8734 is 11 .
LCM of 604,217 is 131068.
The greatest common factor of 2651/604,8734/217 = [GCF of 2651,8734]/[LCM of 604,217]= 11/131068
Therefore, the GCF of 2651/604,8734/217 is 11/131068.
To find the highest common factor of 2651,8734, we have to find the factors of both numbers and list the highest common factor.
The factors of 2651 are 1, 11, 241, 2651
The factors of 8734 are 1, 2, 11, 22, 397, 794, 4367, 8734
The HCF of 2651,8734 is 11.
Lets's calculate GCF of 2651,8734
| 11 | 2651, 8734 |
| 241, 794 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 2651,8734 By Matching Biggest Common Factor Method
Now, list down the factors of 2651
:1,11,241,2651
Now, list down the factors of 8734
:1,2,11,22,397,794,4367,8734
Greatest Common Factor
We found the factors 2651,8734 . The biggest common factor number is the GCF number.
So the greatest common factor 2651,8734 is 11.
Lets's calculate LCM of 604,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 131068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/131068
Therefore, the GCF of Fractions 2651/604,8734/217 is 11/131068
Least Common Multiple of 604,217 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 604,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(604,217) x common factors =1 x 1 = 1
LCM(604,217) = ( 604 × 217 ) / 1
LCM(604,217) = 131068 / 1
LCM(604,217) = 131068
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FAQs on GCF of Fractions of 2651/604, 8734/217
1. What is the HCF of 2651,8734?
The HCF of 2651,8734 is 11
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 2651/604, 8734/217?
Answer: GCF of Numerators as per given numbers 2651/604, 8734/217 is
GCF of Numerators i.e. for 2651,8734 is 11
LCM of denominators i.e. for 604,217 is 131068.
Thus, GCF of Fractions is 11/131068.Finally, GCF of Fractions for 2651/604, 8734/217 is 11/131068.