GCF of 3529/828, 6825/7764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3529/828, 6825/7764 i.e 1/535716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3529/828, 6825/7764.
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 3529/828,6825/7764?
Given fractions are 3529/828,6825/7764
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 3529/828,6825/7764, numerators are 3529,6825
Denominators are 828,7764
The GCF of 3529,6825 is 1 .
LCM of 828,7764 is 535716.
The greatest common factor of 3529/828,6825/7764 = [GCF of 3529,6825]/[LCM of 828,7764]= 1/535716
Therefore, the GCF of 3529/828,6825/7764 is 1/535716.
To find the highest common factor of 3529,6825, we have to find the factors of both numbers and list the highest common factor.
The factors of 3529 are 1, 3529
The factors of 6825 are 1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 65, 75, 91, 105, 175, 195, 273, 325, 455, 525, 975, 1365, 2275, 6825
The HCF of 3529,6825 is 1.
Lets's calculate GCF of 3529,6825
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3529,6825 By Matching Biggest Common Factor Method
Now, list down the factors of 3529
:1,3529
Now, list down the factors of 6825
:1,3,5,7,13,15,21,25,35,39,65,75,91,105,175,195,273,325,455,525,975,1365,2275,6825
Greatest Common Factor
We found the factors 3529,6825 . The biggest common factor number is the GCF number.
So the greatest common factor 3529,6825 is 1.
Lets's calculate LCM of 828,7764
| 2 | 828, 7764 |
| 2 | 414, 3882 |
| 3 | 207, 1941 |
| 69, 647 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 69 x 647 = 535716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/535716
Therefore, the GCF of Fractions 3529/828,6825/7764 is 1/535716
Least Common Multiple of 828,7764 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 828,7764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,7764) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(828,7764) x common factors =12 x 1 = 12
LCM(828,7764) = ( 828 × 7764 ) / 12
LCM(828,7764) = 6428592 / 12
LCM(828,7764) = 535716
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FAQs on GCF of Fractions of 3529/828, 6825/7764
1. What is the HCF of 3529,6825?
The HCF of 3529,6825 is 1
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 3529/828, 6825/7764?
Answer: GCF of Numerators as per given numbers 3529/828, 6825/7764 is
GCF of Numerators i.e. for 3529,6825 is 1
LCM of denominators i.e. for 828,7764 is 535716.
Thus, GCF of Fractions is 1/535716.Finally, GCF of Fractions for 3529/828, 6825/7764 is 1/535716.