GCF of 3276/67, 7473/604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3276/67, 7473/604 i.e 3/40468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3276/67, 7473/604.
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 3276/67,7473/604?
Given fractions are 3276/67,7473/604
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 3276/67,7473/604, numerators are 3276,7473
Denominators are 67,604
The GCF of 3276,7473 is 3 .
LCM of 67,604 is 40468.
The greatest common factor of 3276/67,7473/604 = [GCF of 3276,7473]/[LCM of 67,604]= 3/40468
Therefore, the GCF of 3276/67,7473/604 is 3/40468.
To find the highest common factor of 3276,7473, we have to find the factors of both numbers and list the highest common factor.
The factors of 3276 are 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 28, 36, 39, 42, 52, 63, 78, 84, 91, 117, 126, 156, 182, 234, 252, 273, 364, 468, 546, 819, 1092, 1638, 3276
The factors of 7473 are 1, 3, 47, 53, 141, 159, 2491, 7473
The HCF of 3276,7473 is 3.
Lets's calculate GCF of 3276,7473
| 3 | 3276, 7473 |
| 1092, 2491 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3276,7473 By Matching Biggest Common Factor Method
Now, list down the factors of 3276
:1,2,3,4,6,7,9,12,13,14,18,21,26,28,36,39,42,52,63,78,84,91,117,126,156,182,234,252,273,364,468,546,819,1092,1638,3276
Now, list down the factors of 7473
:1,3,47,53,141,159,2491,7473
Greatest Common Factor
We found the factors 3276,7473 . The biggest common factor number is the GCF number.
So the greatest common factor 3276,7473 is 3.
Lets's calculate LCM of 67,604
Given numbers has no common factors except 1. So, there LCM is their product i.e 40468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/40468
Therefore, the GCF of Fractions 3276/67,7473/604 is 3/40468
Least Common Multiple of 67,604 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 67,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,604) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,604) x common factors =1 x 1 = 1
LCM(67,604) = ( 67 × 604 ) / 1
LCM(67,604) = 40468 / 1
LCM(67,604) = 40468
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FAQs on GCF of Fractions of 3276/67, 7473/604
1. What is the HCF of 3276,7473?
The HCF of 3276,7473 is 3
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 3276/67, 7473/604?
Answer: GCF of Numerators as per given numbers 3276/67, 7473/604 is
GCF of Numerators i.e. for 3276,7473 is 3
LCM of denominators i.e. for 67,604 is 40468.
Thus, GCF of Fractions is 3/40468.Finally, GCF of Fractions for 3276/67, 7473/604 is 3/40468.