GCF of 8662/410, 3970/1675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8662/410, 3970/1675 i.e 2/137350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8662/410, 3970/1675.
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 8662/410,3970/1675?
Given fractions are 8662/410,3970/1675
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 8662/410,3970/1675, numerators are 8662,3970
Denominators are 410,1675
The GCF of 8662,3970 is 2 .
LCM of 410,1675 is 137350.
The greatest common factor of 8662/410,3970/1675 = [GCF of 8662,3970]/[LCM of 410,1675]= 2/137350
Therefore, the GCF of 8662/410,3970/1675 is 2/137350.
To find the highest common factor of 8662,3970, we have to find the factors of both numbers and list the highest common factor.
The factors of 8662 are 1, 2, 61, 71, 122, 142, 4331, 8662
The factors of 3970 are 1, 2, 5, 10, 397, 794, 1985, 3970
The HCF of 8662,3970 is 2.
Lets's calculate GCF of 8662,3970
| 2 | 8662, 3970 |
| 4331, 1985 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8662,3970 By Matching Biggest Common Factor Method
Now, list down the factors of 8662
:1,2,61,71,122,142,4331,8662
Now, list down the factors of 3970
:1,2,5,10,397,794,1985,3970
Greatest Common Factor
We found the factors 8662,3970 . The biggest common factor number is the GCF number.
So the greatest common factor 8662,3970 is 2.
Lets's calculate LCM of 410,1675
| 5 | 410, 1675 |
| 82, 335 |
∴ So the LCM of the given numbers is 5 x 82 x 335 = 137350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/137350
Therefore, the GCF of Fractions 8662/410,3970/1675 is 2/137350
Least Common Multiple of 410,1675 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 410,1675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,1675) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(410,1675) x common factors =5 x 1 = 5
LCM(410,1675) = ( 410 × 1675 ) / 5
LCM(410,1675) = 686750 / 5
LCM(410,1675) = 137350
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FAQs on GCF of Fractions of 8662/410, 3970/1675
1. What is the HCF of 8662,3970?
The HCF of 8662,3970 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 8662/410, 3970/1675?
Answer: GCF of Numerators as per given numbers 8662/410, 3970/1675 is
GCF of Numerators i.e. for 8662,3970 is 2
LCM of denominators i.e. for 410,1675 is 137350.
Thus, GCF of Fractions is 2/137350.Finally, GCF of Fractions for 8662/410, 3970/1675 is 2/137350.