GCF of 3550/718, 9220/1565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3550/718, 9220/1565 i.e 10/1123670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3550/718, 9220/1565.
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 3550/718,9220/1565?
Given fractions are 3550/718,9220/1565
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 3550/718,9220/1565, numerators are 3550,9220
Denominators are 718,1565
The GCF of 3550,9220 is 10 .
LCM of 718,1565 is 1123670.
The greatest common factor of 3550/718,9220/1565 = [GCF of 3550,9220]/[LCM of 718,1565]= 10/1123670
Therefore, the GCF of 3550/718,9220/1565 is 10/1123670.
To find the highest common factor of 3550,9220, we have to find the factors of both numbers and list the highest common factor.
The factors of 3550 are 1, 2, 5, 10, 25, 50, 71, 142, 355, 710, 1775, 3550
The factors of 9220 are 1, 2, 4, 5, 10, 20, 461, 922, 1844, 2305, 4610, 9220
The HCF of 3550,9220 is 10.
Lets's calculate GCF of 3550,9220
| 2 | 3550, 9220 |
| 5 | 1775, 4610 |
| 355, 922 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3550,9220 By Matching Biggest Common Factor Method
Now, list down the factors of 3550
:1,2,5,10,25,50,71,142,355,710,1775,3550
Now, list down the factors of 9220
:1,2,4,5,10,20,461,922,1844,2305,4610,9220
Greatest Common Factor
We found the factors 3550,9220 . The biggest common factor number is the GCF number.
So the greatest common factor 3550,9220 is 10.
Lets's calculate LCM of 718,1565
Given numbers has no common factors except 1. So, there LCM is their product i.e 1123670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1123670
Therefore, the GCF of Fractions 3550/718,9220/1565 is 10/1123670
Least Common Multiple of 718,1565 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 718,1565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,1565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(718,1565) x common factors =1 x 1 = 1
LCM(718,1565) = ( 718 × 1565 ) / 1
LCM(718,1565) = 1123670 / 1
LCM(718,1565) = 1123670
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FAQs on GCF of Fractions of 3550/718, 9220/1565
1. What is the HCF of 3550,9220?
The HCF of 3550,9220 is 10
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 3550/718, 9220/1565?
Answer: GCF of Numerators as per given numbers 3550/718, 9220/1565 is
GCF of Numerators i.e. for 3550,9220 is 10
LCM of denominators i.e. for 718,1565 is 1123670.
Thus, GCF of Fractions is 10/1123670.Finally, GCF of Fractions for 3550/718, 9220/1565 is 10/1123670.