GCF of 6640/936, 7960/9290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6640/936, 7960/9290 i.e 40/4347720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6640/936, 7960/9290.
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 6640/936,7960/9290?
Given fractions are 6640/936,7960/9290
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 6640/936,7960/9290, numerators are 6640,7960
Denominators are 936,9290
The GCF of 6640,7960 is 40 .
LCM of 936,9290 is 4347720.
The greatest common factor of 6640/936,7960/9290 = [GCF of 6640,7960]/[LCM of 936,9290]= 40/4347720
Therefore, the GCF of 6640/936,7960/9290 is 40/4347720.
To find the highest common factor of 6640,7960, we have to find the factors of both numbers and list the highest common factor.
The factors of 6640 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 83, 166, 332, 415, 664, 830, 1328, 1660, 3320, 6640
The factors of 7960 are 1, 2, 4, 5, 8, 10, 20, 40, 199, 398, 796, 995, 1592, 1990, 3980, 7960
The HCF of 6640,7960 is 40.
Lets's calculate GCF of 6640,7960
| 2 | 6640, 7960 |
| 2 | 3320, 3980 |
| 2 | 1660, 1990 |
| 5 | 830, 995 |
| 166, 199 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 6640,7960 By Matching Biggest Common Factor Method
Now, list down the factors of 6640
:1,2,4,5,8,10,16,20,40,80,83,166,332,415,664,830,1328,1660,3320,6640
Now, list down the factors of 7960
:1,2,4,5,8,10,20,40,199,398,796,995,1592,1990,3980,7960
Greatest Common Factor
We found the factors 6640,7960 . The biggest common factor number is the GCF number.
So the greatest common factor 6640,7960 is 40.
Lets's calculate LCM of 936,9290
| 2 | 936, 9290 |
| 468, 4645 |
∴ So the LCM of the given numbers is 2 x 468 x 4645 = 4347720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/4347720
Therefore, the GCF of Fractions 6640/936,7960/9290 is 40/4347720
Least Common Multiple of 936,9290 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 936,9290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,9290) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(936,9290) x common factors =2 x 1 = 2
LCM(936,9290) = ( 936 × 9290 ) / 2
LCM(936,9290) = 8695440 / 2
LCM(936,9290) = 4347720
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FAQs on GCF of Fractions of 6640/936, 7960/9290
1. What is the HCF of 6640,7960?
The HCF of 6640,7960 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 6640/936, 7960/9290?
Answer: GCF of Numerators as per given numbers 6640/936, 7960/9290 is
GCF of Numerators i.e. for 6640,7960 is 40
LCM of denominators i.e. for 936,9290 is 4347720.
Thus, GCF of Fractions is 40/4347720.Finally, GCF of Fractions for 6640/936, 7960/9290 is 40/4347720.