GCF of 9690/763, 5320/8319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9690/763, 5320/8319 i.e 190/6347397 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9690/763, 5320/8319.
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 9690/763,5320/8319?
Given fractions are 9690/763,5320/8319
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 9690/763,5320/8319, numerators are 9690,5320
Denominators are 763,8319
The GCF of 9690,5320 is 190 .
LCM of 763,8319 is 6347397.
The greatest common factor of 9690/763,5320/8319 = [GCF of 9690,5320]/[LCM of 763,8319]= 190/6347397
Therefore, the GCF of 9690/763,5320/8319 is 190/6347397.
To find the highest common factor of 9690,5320, we have to find the factors of both numbers and list the highest common factor.
The factors of 9690 are 1, 2, 3, 5, 6, 10, 15, 17, 19, 30, 34, 38, 51, 57, 85, 95, 102, 114, 170, 190, 255, 285, 323, 510, 570, 646, 969, 1615, 1938, 3230, 4845, 9690
The factors of 5320 are 1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660, 5320
The HCF of 9690,5320 is 190.
Lets's calculate GCF of 9690,5320
| 2 | 9690, 5320 |
| 5 | 4845, 2660 |
| 19 | 969, 532 |
| 51, 28 |
∴ So the GCF of the given numbers is 2 x 5 x 19 = 190
Greatest Common Factor of 9690,5320 By Matching Biggest Common Factor Method
Now, list down the factors of 9690
:1,2,3,5,6,10,15,17,19,30,34,38,51,57,85,95,102,114,170,190,255,285,323,510,570,646,969,1615,1938,3230,4845,9690
Now, list down the factors of 5320
:1,2,4,5,7,8,10,14,19,20,28,35,38,40,56,70,76,95,133,140,152,190,266,280,380,532,665,760,1064,1330,2660,5320
Greatest Common Factor
We found the factors 9690,5320 . The biggest common factor number is the GCF number.
So the greatest common factor 9690,5320 is 190.
Lets's calculate LCM of 763,8319
Given numbers has no common factors except 1. So, there LCM is their product i.e 6347397
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 190/6347397
Therefore, the GCF of Fractions 9690/763,5320/8319 is 190/6347397
Least Common Multiple of 763,8319 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 763,8319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,8319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,8319) x common factors =1 x 1 = 1
LCM(763,8319) = ( 763 × 8319 ) / 1
LCM(763,8319) = 6347397 / 1
LCM(763,8319) = 6347397
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FAQs on GCF of Fractions of 9690/763, 5320/8319
1. What is the HCF of 9690,5320?
The HCF of 9690,5320 is 190
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 9690/763, 5320/8319?
Answer: GCF of Numerators as per given numbers 9690/763, 5320/8319 is
GCF of Numerators i.e. for 9690,5320 is 190
LCM of denominators i.e. for 763,8319 is 6347397.
Thus, GCF of Fractions is 190/6347397.Finally, GCF of Fractions for 9690/763, 5320/8319 is 190/6347397.