GCF of 4499/478, 3410/7071
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4499/478, 3410/7071 i.e 11/3379938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4499/478, 3410/7071.
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 4499/478,3410/7071?
Given fractions are 4499/478,3410/7071
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 4499/478,3410/7071, numerators are 4499,3410
Denominators are 478,7071
The GCF of 4499,3410 is 11 .
LCM of 478,7071 is 3379938.
The greatest common factor of 4499/478,3410/7071 = [GCF of 4499,3410]/[LCM of 478,7071]= 11/3379938
Therefore, the GCF of 4499/478,3410/7071 is 11/3379938.
To find the highest common factor of 4499,3410, we have to find the factors of both numbers and list the highest common factor.
The factors of 4499 are 1, 11, 409, 4499
The factors of 3410 are 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410
The HCF of 4499,3410 is 11.
Lets's calculate GCF of 4499,3410
| 11 | 4499, 3410 |
| 409, 310 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4499,3410 By Matching Biggest Common Factor Method
Now, list down the factors of 4499
:1,11,409,4499
Now, list down the factors of 3410
:1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410
Greatest Common Factor
We found the factors 4499,3410 . The biggest common factor number is the GCF number.
So the greatest common factor 4499,3410 is 11.
Lets's calculate LCM of 478,7071
Given numbers has no common factors except 1. So, there LCM is their product i.e 3379938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/3379938
Therefore, the GCF of Fractions 4499/478,3410/7071 is 11/3379938
Least Common Multiple of 478,7071 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 478,7071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,7071) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,7071) x common factors =1 x 1 = 1
LCM(478,7071) = ( 478 × 7071 ) / 1
LCM(478,7071) = 3379938 / 1
LCM(478,7071) = 3379938
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FAQs on GCF of Fractions of 4499/478, 3410/7071
1. What is the HCF of 4499,3410?
The HCF of 4499,3410 is 11
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 4499/478, 3410/7071?
Answer: GCF of Numerators as per given numbers 4499/478, 3410/7071 is
GCF of Numerators i.e. for 4499,3410 is 11
LCM of denominators i.e. for 478,7071 is 3379938.
Thus, GCF of Fractions is 11/3379938.Finally, GCF of Fractions for 4499/478, 3410/7071 is 11/3379938.