GCF of 187/214, 7799/2782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 187/214, 7799/2782 i.e 11/2782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/214, 7799/2782.
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 187/214,7799/2782?
Given fractions are 187/214,7799/2782
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 187/214,7799/2782, numerators are 187,7799
Denominators are 214,2782
The GCF of 187,7799 is 11 .
LCM of 214,2782 is 2782.
The greatest common factor of 187/214,7799/2782 = [GCF of 187,7799]/[LCM of 214,2782]= 11/2782
Therefore, the GCF of 187/214,7799/2782 is 11/2782.
To find the highest common factor of 187,7799, we have to find the factors of both numbers and list the highest common factor.
The factors of 187 are 1, 11, 17, 187
The factors of 7799 are 1, 11, 709, 7799
The HCF of 187,7799 is 11.
Lets's calculate GCF of 187,7799
| 11 | 187, 7799 |
| 17, 709 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 187,7799 By Matching Biggest Common Factor Method
Now, list down the factors of 187
:1,11,17,187
Now, list down the factors of 7799
:1,11,709,7799
Greatest Common Factor
We found the factors 187,7799 . The biggest common factor number is the GCF number.
So the greatest common factor 187,7799 is 11.
Lets's calculate LCM of 214,2782
| 2 | 214, 2782 |
| 107 | 107, 1391 |
| 1, 13 |
∴ So the LCM of the given numbers is 2 x 107 x 1 x 13 = 2782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2782
Therefore, the GCF of Fractions 187/214,7799/2782 is 11/2782
Least Common Multiple of 214,2782 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 214,2782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,2782) = 214
common factors(in case of two or more numbers have common factors) = 1
GCF(214,2782) x common factors =214 x 1 = 214
LCM(214,2782) = ( 214 × 2782 ) / 214
LCM(214,2782) = 595348 / 214
LCM(214,2782) = 2782
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FAQs on GCF of Fractions of 187/214, 7799/2782
1. What is the HCF of 187,7799?
The HCF of 187,7799 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 187/214, 7799/2782?
Answer: GCF of Numerators as per given numbers 187/214, 7799/2782 is
GCF of Numerators i.e. for 187,7799 is 11
LCM of denominators i.e. for 214,2782 is 2782.
Thus, GCF of Fractions is 11/2782.Finally, GCF of Fractions for 187/214, 7799/2782 is 11/2782.