GCF of 2467/696, 2614/8211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2467/696, 2614/8211 i.e 1/1904952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2467/696, 2614/8211.
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 2467/696,2614/8211?
Given fractions are 2467/696,2614/8211
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 2467/696,2614/8211, numerators are 2467,2614
Denominators are 696,8211
The GCF of 2467,2614 is 1 .
LCM of 696,8211 is 1904952.
The greatest common factor of 2467/696,2614/8211 = [GCF of 2467,2614]/[LCM of 696,8211]= 1/1904952
Therefore, the GCF of 2467/696,2614/8211 is 1/1904952.
To find the highest common factor of 2467,2614, we have to find the factors of both numbers and list the highest common factor.
The factors of 2467 are 1, 2467
The factors of 2614 are 1, 2, 1307, 2614
The HCF of 2467,2614 is 1.
Lets's calculate GCF of 2467,2614
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2467,2614 By Matching Biggest Common Factor Method
Now, list down the factors of 2467
:1,2467
Now, list down the factors of 2614
:1,2,1307,2614
Greatest Common Factor
We found the factors 2467,2614 . The biggest common factor number is the GCF number.
So the greatest common factor 2467,2614 is 1.
Lets's calculate LCM of 696,8211
| 3 | 696, 8211 |
| 232, 2737 |
∴ So the LCM of the given numbers is 3 x 232 x 2737 = 1904952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1904952
Therefore, the GCF of Fractions 2467/696,2614/8211 is 1/1904952
Least Common Multiple of 696,8211 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 696,8211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,8211) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(696,8211) x common factors =3 x 1 = 3
LCM(696,8211) = ( 696 × 8211 ) / 3
LCM(696,8211) = 5714856 / 3
LCM(696,8211) = 1904952
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FAQs on GCF of Fractions of 2467/696, 2614/8211
1. What is the HCF of 2467,2614?
The HCF of 2467,2614 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 2467/696, 2614/8211?
Answer: GCF of Numerators as per given numbers 2467/696, 2614/8211 is
GCF of Numerators i.e. for 2467,2614 is 1
LCM of denominators i.e. for 696,8211 is 1904952.
Thus, GCF of Fractions is 1/1904952.Finally, GCF of Fractions for 2467/696, 2614/8211 is 1/1904952.