GCF of 4070/569, 2768/494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4070/569, 2768/494 i.e 2/281086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4070/569, 2768/494.
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 4070/569,2768/494?
Given fractions are 4070/569,2768/494
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 4070/569,2768/494, numerators are 4070,2768
Denominators are 569,494
The GCF of 4070,2768 is 2 .
LCM of 569,494 is 281086.
The greatest common factor of 4070/569,2768/494 = [GCF of 4070,2768]/[LCM of 569,494]= 2/281086
Therefore, the GCF of 4070/569,2768/494 is 2/281086.
To find the highest common factor of 4070,2768, we have to find the factors of both numbers and list the highest common factor.
The factors of 4070 are 1, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035, 4070
The factors of 2768 are 1, 2, 4, 8, 16, 173, 346, 692, 1384, 2768
The HCF of 4070,2768 is 2.
Lets's calculate GCF of 4070,2768
| 2 | 4070, 2768 |
| 2035, 1384 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4070,2768 By Matching Biggest Common Factor Method
Now, list down the factors of 4070
:1,2,5,10,11,22,37,55,74,110,185,370,407,814,2035,4070
Now, list down the factors of 2768
:1,2,4,8,16,173,346,692,1384,2768
Greatest Common Factor
We found the factors 4070,2768 . The biggest common factor number is the GCF number.
So the greatest common factor 4070,2768 is 2.
Lets's calculate LCM of 569,494
Given numbers has no common factors except 1. So, there LCM is their product i.e 281086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/281086
Therefore, the GCF of Fractions 4070/569,2768/494 is 2/281086
Least Common Multiple of 569,494 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 569,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,494) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,494) x common factors =1 x 1 = 1
LCM(569,494) = ( 569 × 494 ) / 1
LCM(569,494) = 281086 / 1
LCM(569,494) = 281086
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FAQs on GCF of Fractions of 4070/569, 2768/494
1. What is the HCF of 4070,2768?
The HCF of 4070,2768 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 4070/569, 2768/494?
Answer: GCF of Numerators as per given numbers 4070/569, 2768/494 is
GCF of Numerators i.e. for 4070,2768 is 2
LCM of denominators i.e. for 569,494 is 281086.
Thus, GCF of Fractions is 2/281086.Finally, GCF of Fractions for 4070/569, 2768/494 is 2/281086.