GCF of 3510/569, 7745/2048
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3510/569, 7745/2048 i.e 5/1165312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3510/569, 7745/2048.
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 3510/569,7745/2048?
Given fractions are 3510/569,7745/2048
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 3510/569,7745/2048, numerators are 3510,7745
Denominators are 569,2048
The GCF of 3510,7745 is 5 .
LCM of 569,2048 is 1165312.
The greatest common factor of 3510/569,7745/2048 = [GCF of 3510,7745]/[LCM of 569,2048]= 5/1165312
Therefore, the GCF of 3510/569,7745/2048 is 5/1165312.
To find the highest common factor of 3510,7745, we have to find the factors of both numbers and list the highest common factor.
The factors of 3510 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755, 3510
The factors of 7745 are 1, 5, 1549, 7745
The HCF of 3510,7745 is 5.
Lets's calculate GCF of 3510,7745
| 5 | 3510, 7745 |
| 702, 1549 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3510,7745 By Matching Biggest Common Factor Method
Now, list down the factors of 3510
:1,2,3,5,6,9,10,13,15,18,26,27,30,39,45,54,65,78,90,117,130,135,195,234,270,351,390,585,702,1170,1755,3510
Now, list down the factors of 7745
:1,5,1549,7745
Greatest Common Factor
We found the factors 3510,7745 . The biggest common factor number is the GCF number.
So the greatest common factor 3510,7745 is 5.
Lets's calculate LCM of 569,2048
Given numbers has no common factors except 1. So, there LCM is their product i.e 1165312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1165312
Therefore, the GCF of Fractions 3510/569,7745/2048 is 5/1165312
Least Common Multiple of 569,2048 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 569,2048 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,2048) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,2048) x common factors =1 x 1 = 1
LCM(569,2048) = ( 569 × 2048 ) / 1
LCM(569,2048) = 1165312 / 1
LCM(569,2048) = 1165312
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FAQs on GCF of Fractions of 3510/569, 7745/2048
1. What is the HCF of 3510,7745?
The HCF of 3510,7745 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 3510/569, 7745/2048?
Answer: GCF of Numerators as per given numbers 3510/569, 7745/2048 is
GCF of Numerators i.e. for 3510,7745 is 5
LCM of denominators i.e. for 569,2048 is 1165312.
Thus, GCF of Fractions is 5/1165312.Finally, GCF of Fractions for 3510/569, 7745/2048 is 5/1165312.