GCF of 4572/341, 8145/322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4572/341, 8145/322 i.e 9/109802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4572/341, 8145/322.
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 4572/341,8145/322?
Given fractions are 4572/341,8145/322
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 4572/341,8145/322, numerators are 4572,8145
Denominators are 341,322
The GCF of 4572,8145 is 9 .
LCM of 341,322 is 109802.
The greatest common factor of 4572/341,8145/322 = [GCF of 4572,8145]/[LCM of 341,322]= 9/109802
Therefore, the GCF of 4572/341,8145/322 is 9/109802.
To find the highest common factor of 4572,8145, we have to find the factors of both numbers and list the highest common factor.
The factors of 4572 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 127, 254, 381, 508, 762, 1143, 1524, 2286, 4572
The factors of 8145 are 1, 3, 5, 9, 15, 45, 181, 543, 905, 1629, 2715, 8145
The HCF of 4572,8145 is 9.
Lets's calculate GCF of 4572,8145
| 3 | 4572, 8145 |
| 3 | 1524, 2715 |
| 508, 905 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4572,8145 By Matching Biggest Common Factor Method
Now, list down the factors of 4572
:1,2,3,4,6,9,12,18,36,127,254,381,508,762,1143,1524,2286,4572
Now, list down the factors of 8145
:1,3,5,9,15,45,181,543,905,1629,2715,8145
Greatest Common Factor
We found the factors 4572,8145 . The biggest common factor number is the GCF number.
So the greatest common factor 4572,8145 is 9.
Lets's calculate LCM of 341,322
Given numbers has no common factors except 1. So, there LCM is their product i.e 109802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/109802
Therefore, the GCF of Fractions 4572/341,8145/322 is 9/109802
Least Common Multiple of 341,322 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 341,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,322) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(341,322) x common factors =1 x 1 = 1
LCM(341,322) = ( 341 × 322 ) / 1
LCM(341,322) = 109802 / 1
LCM(341,322) = 109802
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FAQs on GCF of Fractions of 4572/341, 8145/322
1. What is the HCF of 4572,8145?
The HCF of 4572,8145 is 9
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 4572/341, 8145/322?
Answer: GCF of Numerators as per given numbers 4572/341, 8145/322 is
GCF of Numerators i.e. for 4572,8145 is 9
LCM of denominators i.e. for 341,322 is 109802.
Thus, GCF of Fractions is 9/109802.Finally, GCF of Fractions for 4572/341, 8145/322 is 9/109802.