GCF of 6882/851, 6919/210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6882/851, 6919/210 i.e 37/178710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6882/851, 6919/210.
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 6882/851,6919/210?
Given fractions are 6882/851,6919/210
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 6882/851,6919/210, numerators are 6882,6919
Denominators are 851,210
The GCF of 6882,6919 is 37 .
LCM of 851,210 is 178710.
The greatest common factor of 6882/851,6919/210 = [GCF of 6882,6919]/[LCM of 851,210]= 37/178710
Therefore, the GCF of 6882/851,6919/210 is 37/178710.
To find the highest common factor of 6882,6919, we have to find the factors of both numbers and list the highest common factor.
The factors of 6882 are 1, 2, 3, 6, 31, 37, 62, 74, 93, 111, 186, 222, 1147, 2294, 3441, 6882
The factors of 6919 are 1, 11, 17, 37, 187, 407, 629, 6919
The HCF of 6882,6919 is 37.
Lets's calculate GCF of 6882,6919
| 37 | 6882, 6919 |
| 186, 187 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 6882,6919 By Matching Biggest Common Factor Method
Now, list down the factors of 6882
:1,2,3,6,31,37,62,74,93,111,186,222,1147,2294,3441,6882
Now, list down the factors of 6919
:1,11,17,37,187,407,629,6919
Greatest Common Factor
We found the factors 6882,6919 . The biggest common factor number is the GCF number.
So the greatest common factor 6882,6919 is 37.
Lets's calculate LCM of 851,210
Given numbers has no common factors except 1. So, there LCM is their product i.e 178710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/178710
Therefore, the GCF of Fractions 6882/851,6919/210 is 37/178710
Least Common Multiple of 851,210 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 851,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,210) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,210) x common factors =1 x 1 = 1
LCM(851,210) = ( 851 × 210 ) / 1
LCM(851,210) = 178710 / 1
LCM(851,210) = 178710
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FAQs on GCF of Fractions of 6882/851, 6919/210
1. What is the HCF of 6882,6919?
The HCF of 6882,6919 is 37
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 6882/851, 6919/210?
Answer: GCF of Numerators as per given numbers 6882/851, 6919/210 is
GCF of Numerators i.e. for 6882,6919 is 37
LCM of denominators i.e. for 851,210 is 178710.
Thus, GCF of Fractions is 37/178710.Finally, GCF of Fractions for 6882/851, 6919/210 is 37/178710.