GCF of 4070/82, 5687/900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4070/82, 5687/900 i.e 11/36900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4070/82, 5687/900.
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 4070/82,5687/900?
Given fractions are 4070/82,5687/900
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 4070/82,5687/900, numerators are 4070,5687
Denominators are 82,900
The GCF of 4070,5687 is 11 .
LCM of 82,900 is 36900.
The greatest common factor of 4070/82,5687/900 = [GCF of 4070,5687]/[LCM of 82,900]= 11/36900
Therefore, the GCF of 4070/82,5687/900 is 11/36900.
To find the highest common factor of 4070,5687, 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 5687 are 1, 11, 47, 121, 517, 5687
The HCF of 4070,5687 is 11.
Lets's calculate GCF of 4070,5687
| 11 | 4070, 5687 |
| 370, 517 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4070,5687 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 5687
:1,11,47,121,517,5687
Greatest Common Factor
We found the factors 4070,5687 . The biggest common factor number is the GCF number.
So the greatest common factor 4070,5687 is 11.
Lets's calculate LCM of 82,900
| 2 | 82, 900 |
| 41, 450 |
∴ So the LCM of the given numbers is 2 x 41 x 450 = 36900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/36900
Therefore, the GCF of Fractions 4070/82,5687/900 is 11/36900
Least Common Multiple of 82,900 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 82,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,900) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,900) x common factors =2 x 1 = 2
LCM(82,900) = ( 82 × 900 ) / 2
LCM(82,900) = 73800 / 2
LCM(82,900) = 36900
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FAQs on GCF of Fractions of 4070/82, 5687/900
1. What is the HCF of 4070,5687?
The HCF of 4070,5687 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 4070/82, 5687/900?
Answer: GCF of Numerators as per given numbers 4070/82, 5687/900 is
GCF of Numerators i.e. for 4070,5687 is 11
LCM of denominators i.e. for 82,900 is 36900.
Thus, GCF of Fractions is 11/36900.Finally, GCF of Fractions for 4070/82, 5687/900 is 11/36900.