GCF of 3689/680, 9030/132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3689/680, 9030/132 i.e 7/22440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3689/680, 9030/132.
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 3689/680,9030/132?
Given fractions are 3689/680,9030/132
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 3689/680,9030/132, numerators are 3689,9030
Denominators are 680,132
The GCF of 3689,9030 is 7 .
LCM of 680,132 is 22440.
The greatest common factor of 3689/680,9030/132 = [GCF of 3689,9030]/[LCM of 680,132]= 7/22440
Therefore, the GCF of 3689/680,9030/132 is 7/22440.
To find the highest common factor of 3689,9030, we have to find the factors of both numbers and list the highest common factor.
The factors of 3689 are 1, 7, 17, 31, 119, 217, 527, 3689
The factors of 9030 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 43, 70, 86, 105, 129, 210, 215, 258, 301, 430, 602, 645, 903, 1290, 1505, 1806, 3010, 4515, 9030
The HCF of 3689,9030 is 7.
Lets's calculate GCF of 3689,9030
| 7 | 3689, 9030 |
| 527, 1290 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3689,9030 By Matching Biggest Common Factor Method
Now, list down the factors of 3689
:1,7,17,31,119,217,527,3689
Now, list down the factors of 9030
:1,2,3,5,6,7,10,14,15,21,30,35,42,43,70,86,105,129,210,215,258,301,430,602,645,903,1290,1505,1806,3010,4515,9030
Greatest Common Factor
We found the factors 3689,9030 . The biggest common factor number is the GCF number.
So the greatest common factor 3689,9030 is 7.
Lets's calculate LCM of 680,132
| 2 | 680, 132 |
| 2 | 340, 66 |
| 170, 33 |
∴ So the LCM of the given numbers is 2 x 2 x 170 x 33 = 22440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/22440
Therefore, the GCF of Fractions 3689/680,9030/132 is 7/22440
Least Common Multiple of 680,132 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 680,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,132) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(680,132) x common factors =4 x 1 = 4
LCM(680,132) = ( 680 × 132 ) / 4
LCM(680,132) = 89760 / 4
LCM(680,132) = 22440
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FAQs on GCF of Fractions of 3689/680, 9030/132
1. What is the HCF of 3689,9030?
The HCF of 3689,9030 is 7
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 3689/680, 9030/132?
Answer: GCF of Numerators as per given numbers 3689/680, 9030/132 is
GCF of Numerators i.e. for 3689,9030 is 7
LCM of denominators i.e. for 680,132 is 22440.
Thus, GCF of Fractions is 7/22440.Finally, GCF of Fractions for 3689/680, 9030/132 is 7/22440.