GCF of 4606/694, 1774/1980
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4606/694, 1774/1980 i.e 2/687060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4606/694, 1774/1980.
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 4606/694,1774/1980?
Given fractions are 4606/694,1774/1980
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 4606/694,1774/1980, numerators are 4606,1774
Denominators are 694,1980
The GCF of 4606,1774 is 2 .
LCM of 694,1980 is 687060.
The greatest common factor of 4606/694,1774/1980 = [GCF of 4606,1774]/[LCM of 694,1980]= 2/687060
Therefore, the GCF of 4606/694,1774/1980 is 2/687060.
To find the highest common factor of 4606,1774, we have to find the factors of both numbers and list the highest common factor.
The factors of 4606 are 1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606
The factors of 1774 are 1, 2, 887, 1774
The HCF of 4606,1774 is 2.
Lets's calculate GCF of 4606,1774
| 2 | 4606, 1774 |
| 2303, 887 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4606,1774 By Matching Biggest Common Factor Method
Now, list down the factors of 4606
:1,2,7,14,47,49,94,98,329,658,2303,4606
Now, list down the factors of 1774
:1,2,887,1774
Greatest Common Factor
We found the factors 4606,1774 . The biggest common factor number is the GCF number.
So the greatest common factor 4606,1774 is 2.
Lets's calculate LCM of 694,1980
| 2 | 694, 1980 |
| 347, 990 |
∴ So the LCM of the given numbers is 2 x 347 x 990 = 687060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/687060
Therefore, the GCF of Fractions 4606/694,1774/1980 is 2/687060
Least Common Multiple of 694,1980 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 694,1980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,1980) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(694,1980) x common factors =2 x 1 = 2
LCM(694,1980) = ( 694 × 1980 ) / 2
LCM(694,1980) = 1374120 / 2
LCM(694,1980) = 687060
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FAQs on GCF of Fractions of 4606/694, 1774/1980
1. What is the HCF of 4606,1774?
The HCF of 4606,1774 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 4606/694, 1774/1980?
Answer: GCF of Numerators as per given numbers 4606/694, 1774/1980 is
GCF of Numerators i.e. for 4606,1774 is 2
LCM of denominators i.e. for 694,1980 is 687060.
Thus, GCF of Fractions is 2/687060.Finally, GCF of Fractions for 4606/694, 1774/1980 is 2/687060.