GCF of 8110/696, 1560/7684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8110/696, 1560/7684 i.e 10/1337016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8110/696, 1560/7684.
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 8110/696,1560/7684?
Given fractions are 8110/696,1560/7684
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 8110/696,1560/7684, numerators are 8110,1560
Denominators are 696,7684
The GCF of 8110,1560 is 10 .
LCM of 696,7684 is 1337016.
The greatest common factor of 8110/696,1560/7684 = [GCF of 8110,1560]/[LCM of 696,7684]= 10/1337016
Therefore, the GCF of 8110/696,1560/7684 is 10/1337016.
To find the highest common factor of 8110,1560, we have to find the factors of both numbers and list the highest common factor.
The factors of 8110 are 1, 2, 5, 10, 811, 1622, 4055, 8110
The factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560
The HCF of 8110,1560 is 10.
Lets's calculate GCF of 8110,1560
| 2 | 8110, 1560 |
| 5 | 4055, 780 |
| 811, 156 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8110,1560 By Matching Biggest Common Factor Method
Now, list down the factors of 8110
:1,2,5,10,811,1622,4055,8110
Now, list down the factors of 1560
:1,2,3,4,5,6,8,10,12,13,15,20,24,26,30,39,40,52,60,65,78,104,120,130,156,195,260,312,390,520,780,1560
Greatest Common Factor
We found the factors 8110,1560 . The biggest common factor number is the GCF number.
So the greatest common factor 8110,1560 is 10.
Lets's calculate LCM of 696,7684
| 2 | 696, 7684 |
| 2 | 348, 3842 |
| 174, 1921 |
∴ So the LCM of the given numbers is 2 x 2 x 174 x 1921 = 1337016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1337016
Therefore, the GCF of Fractions 8110/696,1560/7684 is 10/1337016
Least Common Multiple of 696,7684 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 696,7684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,7684) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(696,7684) x common factors =4 x 1 = 4
LCM(696,7684) = ( 696 × 7684 ) / 4
LCM(696,7684) = 5348064 / 4
LCM(696,7684) = 1337016
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FAQs on GCF of Fractions of 8110/696, 1560/7684
1. What is the HCF of 8110,1560?
The HCF of 8110,1560 is 10
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 8110/696, 1560/7684?
Answer: GCF of Numerators as per given numbers 8110/696, 1560/7684 is
GCF of Numerators i.e. for 8110,1560 is 10
LCM of denominators i.e. for 696,7684 is 1337016.
Thus, GCF of Fractions is 10/1337016.Finally, GCF of Fractions for 8110/696, 1560/7684 is 10/1337016.