GCF of 1222/186, 7582/3678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1222/186, 7582/3678 i.e 2/114018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1222/186, 7582/3678.
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 1222/186,7582/3678?
Given fractions are 1222/186,7582/3678
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 1222/186,7582/3678, numerators are 1222,7582
Denominators are 186,3678
The GCF of 1222,7582 is 2 .
LCM of 186,3678 is 114018.
The greatest common factor of 1222/186,7582/3678 = [GCF of 1222,7582]/[LCM of 186,3678]= 2/114018
Therefore, the GCF of 1222/186,7582/3678 is 2/114018.
To find the highest common factor of 1222,7582, we have to find the factors of both numbers and list the highest common factor.
The factors of 1222 are 1, 2, 13, 26, 47, 94, 611, 1222
The factors of 7582 are 1, 2, 17, 34, 223, 446, 3791, 7582
The HCF of 1222,7582 is 2.
Lets's calculate GCF of 1222,7582
| 2 | 1222, 7582 |
| 611, 3791 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1222,7582 By Matching Biggest Common Factor Method
Now, list down the factors of 1222
:1,2,13,26,47,94,611,1222
Now, list down the factors of 7582
:1,2,17,34,223,446,3791,7582
Greatest Common Factor
We found the factors 1222,7582 . The biggest common factor number is the GCF number.
So the greatest common factor 1222,7582 is 2.
Lets's calculate LCM of 186,3678
| 2 | 186, 3678 |
| 3 | 93, 1839 |
| 31, 613 |
∴ So the LCM of the given numbers is 2 x 3 x 31 x 613 = 114018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/114018
Therefore, the GCF of Fractions 1222/186,7582/3678 is 2/114018
Least Common Multiple of 186,3678 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 186,3678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,3678) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(186,3678) x common factors =6 x 1 = 6
LCM(186,3678) = ( 186 × 3678 ) / 6
LCM(186,3678) = 684108 / 6
LCM(186,3678) = 114018
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FAQs on GCF of Fractions of 1222/186, 7582/3678
1. What is the HCF of 1222,7582?
The HCF of 1222,7582 is 2
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 1222/186, 7582/3678?
Answer: GCF of Numerators as per given numbers 1222/186, 7582/3678 is
GCF of Numerators i.e. for 1222,7582 is 2
LCM of denominators i.e. for 186,3678 is 114018.
Thus, GCF of Fractions is 2/114018.Finally, GCF of Fractions for 1222/186, 7582/3678 is 2/114018.