GCF of 6520/693, 7040/9783
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6520/693, 7040/9783 i.e 40/753291 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6520/693, 7040/9783.
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 6520/693,7040/9783?
Given fractions are 6520/693,7040/9783
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 6520/693,7040/9783, numerators are 6520,7040
Denominators are 693,9783
The GCF of 6520,7040 is 40 .
LCM of 693,9783 is 753291.
The greatest common factor of 6520/693,7040/9783 = [GCF of 6520,7040]/[LCM of 693,9783]= 40/753291
Therefore, the GCF of 6520/693,7040/9783 is 40/753291.
To find the highest common factor of 6520,7040, we have to find the factors of both numbers and list the highest common factor.
The factors of 6520 are 1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520
The factors of 7040 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040
The HCF of 6520,7040 is 40.
Lets's calculate GCF of 6520,7040
| 2 | 6520, 7040 |
| 2 | 3260, 3520 |
| 2 | 1630, 1760 |
| 5 | 815, 880 |
| 163, 176 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 6520,7040 By Matching Biggest Common Factor Method
Now, list down the factors of 6520
:1,2,4,5,8,10,20,40,163,326,652,815,1304,1630,3260,6520
Now, list down the factors of 7040
:1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,128,160,176,220,320,352,440,640,704,880,1408,1760,3520,7040
Greatest Common Factor
We found the factors 6520,7040 . The biggest common factor number is the GCF number.
So the greatest common factor 6520,7040 is 40.
Lets's calculate LCM of 693,9783
| 3 | 693, 9783 |
| 3 | 231, 3261 |
| 77, 1087 |
∴ So the LCM of the given numbers is 3 x 3 x 77 x 1087 = 753291
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/753291
Therefore, the GCF of Fractions 6520/693,7040/9783 is 40/753291
Least Common Multiple of 693,9783 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 693,9783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,9783) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(693,9783) x common factors =9 x 1 = 9
LCM(693,9783) = ( 693 × 9783 ) / 9
LCM(693,9783) = 6779619 / 9
LCM(693,9783) = 753291
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6520/693, 7040/9783
1. What is the HCF of 6520,7040?
The HCF of 6520,7040 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 6520/693, 7040/9783?
Answer: GCF of Numerators as per given numbers 6520/693, 7040/9783 is
GCF of Numerators i.e. for 6520,7040 is 40
LCM of denominators i.e. for 693,9783 is 753291.
Thus, GCF of Fractions is 40/753291.Finally, GCF of Fractions for 6520/693, 7040/9783 is 40/753291.