GCF of 6576/876, 6306/764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6576/876, 6306/764 i.e 6/167316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6576/876, 6306/764.
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 6576/876,6306/764?
Given fractions are 6576/876,6306/764
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 6576/876,6306/764, numerators are 6576,6306
Denominators are 876,764
The GCF of 6576,6306 is 6 .
LCM of 876,764 is 167316.
The greatest common factor of 6576/876,6306/764 = [GCF of 6576,6306]/[LCM of 876,764]= 6/167316
Therefore, the GCF of 6576/876,6306/764 is 6/167316.
To find the highest common factor of 6576,6306, we have to find the factors of both numbers and list the highest common factor.
The factors of 6576 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 137, 274, 411, 548, 822, 1096, 1644, 2192, 3288, 6576
The factors of 6306 are 1, 2, 3, 6, 1051, 2102, 3153, 6306
The HCF of 6576,6306 is 6.
Lets's calculate GCF of 6576,6306
| 2 | 6576, 6306 |
| 3 | 3288, 3153 |
| 1096, 1051 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6576,6306 By Matching Biggest Common Factor Method
Now, list down the factors of 6576
:1,2,3,4,6,8,12,16,24,48,137,274,411,548,822,1096,1644,2192,3288,6576
Now, list down the factors of 6306
:1,2,3,6,1051,2102,3153,6306
Greatest Common Factor
We found the factors 6576,6306 . The biggest common factor number is the GCF number.
So the greatest common factor 6576,6306 is 6.
Lets's calculate LCM of 876,764
| 2 | 876, 764 |
| 2 | 438, 382 |
| 219, 191 |
∴ So the LCM of the given numbers is 2 x 2 x 219 x 191 = 167316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/167316
Therefore, the GCF of Fractions 6576/876,6306/764 is 6/167316
Least Common Multiple of 876,764 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 876,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,764) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(876,764) x common factors =4 x 1 = 4
LCM(876,764) = ( 876 × 764 ) / 4
LCM(876,764) = 669264 / 4
LCM(876,764) = 167316
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FAQs on GCF of Fractions of 6576/876, 6306/764
1. What is the HCF of 6576,6306?
The HCF of 6576,6306 is 6
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 6576/876, 6306/764?
Answer: GCF of Numerators as per given numbers 6576/876, 6306/764 is
GCF of Numerators i.e. for 6576,6306 is 6
LCM of denominators i.e. for 876,764 is 167316.
Thus, GCF of Fractions is 6/167316.Finally, GCF of Fractions for 6576/876, 6306/764 is 6/167316.