GCF of 5570/104, 9210/448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5570/104, 9210/448 i.e 10/5824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5570/104, 9210/448.
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 5570/104,9210/448?
Given fractions are 5570/104,9210/448
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 5570/104,9210/448, numerators are 5570,9210
Denominators are 104,448
The GCF of 5570,9210 is 10 .
LCM of 104,448 is 5824.
The greatest common factor of 5570/104,9210/448 = [GCF of 5570,9210]/[LCM of 104,448]= 10/5824
Therefore, the GCF of 5570/104,9210/448 is 10/5824.
To find the highest common factor of 5570,9210, we have to find the factors of both numbers and list the highest common factor.
The factors of 5570 are 1, 2, 5, 10, 557, 1114, 2785, 5570
The factors of 9210 are 1, 2, 3, 5, 6, 10, 15, 30, 307, 614, 921, 1535, 1842, 3070, 4605, 9210
The HCF of 5570,9210 is 10.
Lets's calculate GCF of 5570,9210
| 2 | 5570, 9210 |
| 5 | 2785, 4605 |
| 557, 921 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5570,9210 By Matching Biggest Common Factor Method
Now, list down the factors of 5570
:1,2,5,10,557,1114,2785,5570
Now, list down the factors of 9210
:1,2,3,5,6,10,15,30,307,614,921,1535,1842,3070,4605,9210
Greatest Common Factor
We found the factors 5570,9210 . The biggest common factor number is the GCF number.
So the greatest common factor 5570,9210 is 10.
Lets's calculate LCM of 104,448
| 2 | 104, 448 |
| 2 | 52, 224 |
| 2 | 26, 112 |
| 13, 56 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 56 = 5824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/5824
Therefore, the GCF of Fractions 5570/104,9210/448 is 10/5824
Least Common Multiple of 104,448 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 104,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,448) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(104,448) x common factors =8 x 1 = 8
LCM(104,448) = ( 104 × 448 ) / 8
LCM(104,448) = 46592 / 8
LCM(104,448) = 5824
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FAQs on GCF of Fractions of 5570/104, 9210/448
1. What is the HCF of 5570,9210?
The HCF of 5570,9210 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 5570/104, 9210/448?
Answer: GCF of Numerators as per given numbers 5570/104, 9210/448 is
GCF of Numerators i.e. for 5570,9210 is 10
LCM of denominators i.e. for 104,448 is 5824.
Thus, GCF of Fractions is 10/5824.Finally, GCF of Fractions for 5570/104, 9210/448 is 10/5824.