GCF of 5770/282, 5445/704
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5770/282, 5445/704 i.e 5/99264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5770/282, 5445/704.
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 5770/282,5445/704?
Given fractions are 5770/282,5445/704
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 5770/282,5445/704, numerators are 5770,5445
Denominators are 282,704
The GCF of 5770,5445 is 5 .
LCM of 282,704 is 99264.
The greatest common factor of 5770/282,5445/704 = [GCF of 5770,5445]/[LCM of 282,704]= 5/99264
Therefore, the GCF of 5770/282,5445/704 is 5/99264.
To find the highest common factor of 5770,5445, we have to find the factors of both numbers and list the highest common factor.
The factors of 5770 are 1, 2, 5, 10, 577, 1154, 2885, 5770
The factors of 5445 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445
The HCF of 5770,5445 is 5.
Lets's calculate GCF of 5770,5445
| 5 | 5770, 5445 |
| 1154, 1089 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5770,5445 By Matching Biggest Common Factor Method
Now, list down the factors of 5770
:1,2,5,10,577,1154,2885,5770
Now, list down the factors of 5445
:1,3,5,9,11,15,33,45,55,99,121,165,363,495,605,1089,1815,5445
Greatest Common Factor
We found the factors 5770,5445 . The biggest common factor number is the GCF number.
So the greatest common factor 5770,5445 is 5.
Lets's calculate LCM of 282,704
| 2 | 282, 704 |
| 141, 352 |
∴ So the LCM of the given numbers is 2 x 141 x 352 = 99264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/99264
Therefore, the GCF of Fractions 5770/282,5445/704 is 5/99264
Least Common Multiple of 282,704 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 282,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,704) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(282,704) x common factors =2 x 1 = 2
LCM(282,704) = ( 282 × 704 ) / 2
LCM(282,704) = 198528 / 2
LCM(282,704) = 99264
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FAQs on GCF of Fractions of 5770/282, 5445/704
1. What is the HCF of 5770,5445?
The HCF of 5770,5445 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 5770/282, 5445/704?
Answer: GCF of Numerators as per given numbers 5770/282, 5445/704 is
GCF of Numerators i.e. for 5770,5445 is 5
LCM of denominators i.e. for 282,704 is 99264.
Thus, GCF of Fractions is 5/99264.Finally, GCF of Fractions for 5770/282, 5445/704 is 5/99264.