GCF of 4352/511, 3682/3873
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4352/511, 3682/3873 i.e 2/1979103 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4352/511, 3682/3873.
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 4352/511,3682/3873?
Given fractions are 4352/511,3682/3873
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 4352/511,3682/3873, numerators are 4352,3682
Denominators are 511,3873
The GCF of 4352,3682 is 2 .
LCM of 511,3873 is 1979103.
The greatest common factor of 4352/511,3682/3873 = [GCF of 4352,3682]/[LCM of 511,3873]= 2/1979103
Therefore, the GCF of 4352/511,3682/3873 is 2/1979103.
To find the highest common factor of 4352,3682, we have to find the factors of both numbers and list the highest common factor.
The factors of 4352 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 544, 1088, 2176, 4352
The factors of 3682 are 1, 2, 7, 14, 263, 526, 1841, 3682
The HCF of 4352,3682 is 2.
Lets's calculate GCF of 4352,3682
| 2 | 4352, 3682 |
| 2176, 1841 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4352,3682 By Matching Biggest Common Factor Method
Now, list down the factors of 4352
:1,2,4,8,16,17,32,34,64,68,128,136,256,272,544,1088,2176,4352
Now, list down the factors of 3682
:1,2,7,14,263,526,1841,3682
Greatest Common Factor
We found the factors 4352,3682 . The biggest common factor number is the GCF number.
So the greatest common factor 4352,3682 is 2.
Lets's calculate LCM of 511,3873
Given numbers has no common factors except 1. So, there LCM is their product i.e 1979103
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1979103
Therefore, the GCF of Fractions 4352/511,3682/3873 is 2/1979103
Least Common Multiple of 511,3873 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 511,3873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,3873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,3873) x common factors =1 x 1 = 1
LCM(511,3873) = ( 511 × 3873 ) / 1
LCM(511,3873) = 1979103 / 1
LCM(511,3873) = 1979103
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FAQs on GCF of Fractions of 4352/511, 3682/3873
1. What is the HCF of 4352,3682?
The HCF of 4352,3682 is 2
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 4352/511, 3682/3873?
Answer: GCF of Numerators as per given numbers 4352/511, 3682/3873 is
GCF of Numerators i.e. for 4352,3682 is 2
LCM of denominators i.e. for 511,3873 is 1979103.
Thus, GCF of Fractions is 2/1979103.Finally, GCF of Fractions for 4352/511, 3682/3873 is 2/1979103.