GCF of 4370/460, 8985/3735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4370/460, 8985/3735 i.e 5/343620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4370/460, 8985/3735.
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 4370/460,8985/3735?
Given fractions are 4370/460,8985/3735
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 4370/460,8985/3735, numerators are 4370,8985
Denominators are 460,3735
The GCF of 4370,8985 is 5 .
LCM of 460,3735 is 343620.
The greatest common factor of 4370/460,8985/3735 = [GCF of 4370,8985]/[LCM of 460,3735]= 5/343620
Therefore, the GCF of 4370/460,8985/3735 is 5/343620.
To find the highest common factor of 4370,8985, we have to find the factors of both numbers and list the highest common factor.
The factors of 4370 are 1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 437, 874, 2185, 4370
The factors of 8985 are 1, 3, 5, 15, 599, 1797, 2995, 8985
The HCF of 4370,8985 is 5.
Lets's calculate GCF of 4370,8985
| 5 | 4370, 8985 |
| 874, 1797 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4370,8985 By Matching Biggest Common Factor Method
Now, list down the factors of 4370
:1,2,5,10,19,23,38,46,95,115,190,230,437,874,2185,4370
Now, list down the factors of 8985
:1,3,5,15,599,1797,2995,8985
Greatest Common Factor
We found the factors 4370,8985 . The biggest common factor number is the GCF number.
So the greatest common factor 4370,8985 is 5.
Lets's calculate LCM of 460,3735
| 5 | 460, 3735 |
| 92, 747 |
∴ So the LCM of the given numbers is 5 x 92 x 747 = 343620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/343620
Therefore, the GCF of Fractions 4370/460,8985/3735 is 5/343620
Least Common Multiple of 460,3735 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 460,3735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,3735) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(460,3735) x common factors =5 x 1 = 5
LCM(460,3735) = ( 460 × 3735 ) / 5
LCM(460,3735) = 1718100 / 5
LCM(460,3735) = 343620
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FAQs on GCF of Fractions of 4370/460, 8985/3735
1. What is the HCF of 4370,8985?
The HCF of 4370,8985 is 5
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 4370/460, 8985/3735?
Answer: GCF of Numerators as per given numbers 4370/460, 8985/3735 is
GCF of Numerators i.e. for 4370,8985 is 5
LCM of denominators i.e. for 460,3735 is 343620.
Thus, GCF of Fractions is 5/343620.Finally, GCF of Fractions for 4370/460, 8985/3735 is 5/343620.