GCF of 7640/633, 3800/5770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7640/633, 3800/5770 i.e 40/3652410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7640/633, 3800/5770.
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 7640/633,3800/5770?
Given fractions are 7640/633,3800/5770
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 7640/633,3800/5770, numerators are 7640,3800
Denominators are 633,5770
The GCF of 7640,3800 is 40 .
LCM of 633,5770 is 3652410.
The greatest common factor of 7640/633,3800/5770 = [GCF of 7640,3800]/[LCM of 633,5770]= 40/3652410
Therefore, the GCF of 7640/633,3800/5770 is 40/3652410.
To find the highest common factor of 7640,3800, we have to find the factors of both numbers and list the highest common factor.
The factors of 7640 are 1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640
The factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800
The HCF of 7640,3800 is 40.
Lets's calculate GCF of 7640,3800
| 2 | 7640, 3800 |
| 2 | 3820, 1900 |
| 2 | 1910, 950 |
| 5 | 955, 475 |
| 191, 95 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 7640,3800 By Matching Biggest Common Factor Method
Now, list down the factors of 7640
:1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640
Now, list down the factors of 3800
:1,2,4,5,8,10,19,20,25,38,40,50,76,95,100,152,190,200,380,475,760,950,1900,3800
Greatest Common Factor
We found the factors 7640,3800 . The biggest common factor number is the GCF number.
So the greatest common factor 7640,3800 is 40.
Lets's calculate LCM of 633,5770
Given numbers has no common factors except 1. So, there LCM is their product i.e 3652410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/3652410
Therefore, the GCF of Fractions 7640/633,3800/5770 is 40/3652410
Least Common Multiple of 633,5770 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 633,5770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,5770) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(633,5770) x common factors =1 x 1 = 1
LCM(633,5770) = ( 633 × 5770 ) / 1
LCM(633,5770) = 3652410 / 1
LCM(633,5770) = 3652410
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FAQs on GCF of Fractions of 7640/633, 3800/5770
1. What is the HCF of 7640,3800?
The HCF of 7640,3800 is 40
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 7640/633, 3800/5770?
Answer: GCF of Numerators as per given numbers 7640/633, 3800/5770 is
GCF of Numerators i.e. for 7640,3800 is 40
LCM of denominators i.e. for 633,5770 is 3652410.
Thus, GCF of Fractions is 40/3652410.Finally, GCF of Fractions for 7640/633, 3800/5770 is 40/3652410.