GCF of 2207/195, 8370/846
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2207/195, 8370/846 i.e 1/54990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2207/195, 8370/846.
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 2207/195,8370/846?
Given fractions are 2207/195,8370/846
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 2207/195,8370/846, numerators are 2207,8370
Denominators are 195,846
The GCF of 2207,8370 is 1 .
LCM of 195,846 is 54990.
The greatest common factor of 2207/195,8370/846 = [GCF of 2207,8370]/[LCM of 195,846]= 1/54990
Therefore, the GCF of 2207/195,8370/846 is 1/54990.
To find the highest common factor of 2207,8370, we have to find the factors of both numbers and list the highest common factor.
The factors of 2207 are 1, 2207
The factors of 8370 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370
The HCF of 2207,8370 is 1.
Lets's calculate GCF of 2207,8370
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2207,8370 By Matching Biggest Common Factor Method
Now, list down the factors of 2207
:1,2207
Now, list down the factors of 8370
:1,2,3,5,6,9,10,15,18,27,30,31,45,54,62,90,93,135,155,186,270,279,310,465,558,837,930,1395,1674,2790,4185,8370
Greatest Common Factor
We found the factors 2207,8370 . The biggest common factor number is the GCF number.
So the greatest common factor 2207,8370 is 1.
Lets's calculate LCM of 195,846
| 3 | 195, 846 |
| 65, 282 |
∴ So the LCM of the given numbers is 3 x 65 x 282 = 54990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54990
Therefore, the GCF of Fractions 2207/195,8370/846 is 1/54990
Least Common Multiple of 195,846 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 195,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,846) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(195,846) x common factors =3 x 1 = 3
LCM(195,846) = ( 195 × 846 ) / 3
LCM(195,846) = 164970 / 3
LCM(195,846) = 54990
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FAQs on GCF of Fractions of 2207/195, 8370/846
1. What is the HCF of 2207,8370?
The HCF of 2207,8370 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 2207/195, 8370/846?
Answer: GCF of Numerators as per given numbers 2207/195, 8370/846 is
GCF of Numerators i.e. for 2207,8370 is 1
LCM of denominators i.e. for 195,846 is 54990.
Thus, GCF of Fractions is 1/54990.Finally, GCF of Fractions for 2207/195, 8370/846 is 1/54990.