GCF of 4456/661, 5670/7409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4456/661, 5670/7409 i.e 2/4897349 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4456/661, 5670/7409.
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 4456/661,5670/7409?
Given fractions are 4456/661,5670/7409
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 4456/661,5670/7409, numerators are 4456,5670
Denominators are 661,7409
The GCF of 4456,5670 is 2 .
LCM of 661,7409 is 4897349.
The greatest common factor of 4456/661,5670/7409 = [GCF of 4456,5670]/[LCM of 661,7409]= 2/4897349
Therefore, the GCF of 4456/661,5670/7409 is 2/4897349.
To find the highest common factor of 4456,5670, we have to find the factors of both numbers and list the highest common factor.
The factors of 4456 are 1, 2, 4, 8, 557, 1114, 2228, 4456
The factors of 5670 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 270, 315, 378, 405, 567, 630, 810, 945, 1134, 1890, 2835, 5670
The HCF of 4456,5670 is 2.
Lets's calculate GCF of 4456,5670
| 2 | 4456, 5670 |
| 2228, 2835 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4456,5670 By Matching Biggest Common Factor Method
Now, list down the factors of 4456
:1,2,4,8,557,1114,2228,4456
Now, list down the factors of 5670
:1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,81,90,105,126,135,162,189,210,270,315,378,405,567,630,810,945,1134,1890,2835,5670
Greatest Common Factor
We found the factors 4456,5670 . The biggest common factor number is the GCF number.
So the greatest common factor 4456,5670 is 2.
Lets's calculate LCM of 661,7409
Given numbers has no common factors except 1. So, there LCM is their product i.e 4897349
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4897349
Therefore, the GCF of Fractions 4456/661,5670/7409 is 2/4897349
Least Common Multiple of 661,7409 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 661,7409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,7409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,7409) x common factors =1 x 1 = 1
LCM(661,7409) = ( 661 × 7409 ) / 1
LCM(661,7409) = 4897349 / 1
LCM(661,7409) = 4897349
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FAQs on GCF of Fractions of 4456/661, 5670/7409
1. What is the HCF of 4456,5670?
The HCF of 4456,5670 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 4456/661, 5670/7409?
Answer: GCF of Numerators as per given numbers 4456/661, 5670/7409 is
GCF of Numerators i.e. for 4456,5670 is 2
LCM of denominators i.e. for 661,7409 is 4897349.
Thus, GCF of Fractions is 2/4897349.Finally, GCF of Fractions for 4456/661, 5670/7409 is 2/4897349.