GCF of 7690/229, 2542/2982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7690/229, 2542/2982 i.e 2/682878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7690/229, 2542/2982.
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 7690/229,2542/2982?
Given fractions are 7690/229,2542/2982
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 7690/229,2542/2982, numerators are 7690,2542
Denominators are 229,2982
The GCF of 7690,2542 is 2 .
LCM of 229,2982 is 682878.
The greatest common factor of 7690/229,2542/2982 = [GCF of 7690,2542]/[LCM of 229,2982]= 2/682878
Therefore, the GCF of 7690/229,2542/2982 is 2/682878.
To find the highest common factor of 7690,2542, we have to find the factors of both numbers and list the highest common factor.
The factors of 7690 are 1, 2, 5, 10, 769, 1538, 3845, 7690
The factors of 2542 are 1, 2, 31, 41, 62, 82, 1271, 2542
The HCF of 7690,2542 is 2.
Lets's calculate GCF of 7690,2542
| 2 | 7690, 2542 |
| 3845, 1271 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7690,2542 By Matching Biggest Common Factor Method
Now, list down the factors of 7690
:1,2,5,10,769,1538,3845,7690
Now, list down the factors of 2542
:1,2,31,41,62,82,1271,2542
Greatest Common Factor
We found the factors 7690,2542 . The biggest common factor number is the GCF number.
So the greatest common factor 7690,2542 is 2.
Lets's calculate LCM of 229,2982
Given numbers has no common factors except 1. So, there LCM is their product i.e 682878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/682878
Therefore, the GCF of Fractions 7690/229,2542/2982 is 2/682878
Least Common Multiple of 229,2982 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 229,2982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,2982) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,2982) x common factors =1 x 1 = 1
LCM(229,2982) = ( 229 × 2982 ) / 1
LCM(229,2982) = 682878 / 1
LCM(229,2982) = 682878
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FAQs on GCF of Fractions of 7690/229, 2542/2982
1. What is the HCF of 7690,2542?
The HCF of 7690,2542 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 7690/229, 2542/2982?
Answer: GCF of Numerators as per given numbers 7690/229, 2542/2982 is
GCF of Numerators i.e. for 7690,2542 is 2
LCM of denominators i.e. for 229,2982 is 682878.
Thus, GCF of Fractions is 2/682878.Finally, GCF of Fractions for 7690/229, 2542/2982 is 2/682878.