GCF of 3690/680, 4758/638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3690/680, 4758/638 i.e 6/216920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3690/680, 4758/638.
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 3690/680,4758/638?
Given fractions are 3690/680,4758/638
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 3690/680,4758/638, numerators are 3690,4758
Denominators are 680,638
The GCF of 3690,4758 is 6 .
LCM of 680,638 is 216920.
The greatest common factor of 3690/680,4758/638 = [GCF of 3690,4758]/[LCM of 680,638]= 6/216920
Therefore, the GCF of 3690/680,4758/638 is 6/216920.
To find the highest common factor of 3690,4758, we have to find the factors of both numbers and list the highest common factor.
The factors of 3690 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845, 3690
The factors of 4758 are 1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379, 4758
The HCF of 3690,4758 is 6.
Lets's calculate GCF of 3690,4758
| 2 | 3690, 4758 |
| 3 | 1845, 2379 |
| 615, 793 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3690,4758 By Matching Biggest Common Factor Method
Now, list down the factors of 3690
:1,2,3,5,6,9,10,15,18,30,41,45,82,90,123,205,246,369,410,615,738,1230,1845,3690
Now, list down the factors of 4758
:1,2,3,6,13,26,39,61,78,122,183,366,793,1586,2379,4758
Greatest Common Factor
We found the factors 3690,4758 . The biggest common factor number is the GCF number.
So the greatest common factor 3690,4758 is 6.
Lets's calculate LCM of 680,638
| 2 | 680, 638 |
| 340, 319 |
∴ So the LCM of the given numbers is 2 x 340 x 319 = 216920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/216920
Therefore, the GCF of Fractions 3690/680,4758/638 is 6/216920
Least Common Multiple of 680,638 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 680,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(680,638) x common factors =2 x 1 = 2
LCM(680,638) = ( 680 × 638 ) / 2
LCM(680,638) = 433840 / 2
LCM(680,638) = 216920
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FAQs on GCF of Fractions of 3690/680, 4758/638
1. What is the HCF of 3690,4758?
The HCF of 3690,4758 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 3690/680, 4758/638?
Answer: GCF of Numerators as per given numbers 3690/680, 4758/638 is
GCF of Numerators i.e. for 3690,4758 is 6
LCM of denominators i.e. for 680,638 is 216920.
Thus, GCF of Fractions is 6/216920.Finally, GCF of Fractions for 3690/680, 4758/638 is 6/216920.