GCF of 8562/857, 8780/7786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8562/857, 8780/7786 i.e 2/6672602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8562/857, 8780/7786.
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 8562/857,8780/7786?
Given fractions are 8562/857,8780/7786
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 8562/857,8780/7786, numerators are 8562,8780
Denominators are 857,7786
The GCF of 8562,8780 is 2 .
LCM of 857,7786 is 6672602.
The greatest common factor of 8562/857,8780/7786 = [GCF of 8562,8780]/[LCM of 857,7786]= 2/6672602
Therefore, the GCF of 8562/857,8780/7786 is 2/6672602.
To find the highest common factor of 8562,8780, we have to find the factors of both numbers and list the highest common factor.
The factors of 8562 are 1, 2, 3, 6, 1427, 2854, 4281, 8562
The factors of 8780 are 1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390, 8780
The HCF of 8562,8780 is 2.
Lets's calculate GCF of 8562,8780
| 2 | 8562, 8780 |
| 4281, 4390 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8562,8780 By Matching Biggest Common Factor Method
Now, list down the factors of 8562
:1,2,3,6,1427,2854,4281,8562
Now, list down the factors of 8780
:1,2,4,5,10,20,439,878,1756,2195,4390,8780
Greatest Common Factor
We found the factors 8562,8780 . The biggest common factor number is the GCF number.
So the greatest common factor 8562,8780 is 2.
Lets's calculate LCM of 857,7786
Given numbers has no common factors except 1. So, there LCM is their product i.e 6672602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6672602
Therefore, the GCF of Fractions 8562/857,8780/7786 is 2/6672602
Least Common Multiple of 857,7786 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 857,7786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,7786) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,7786) x common factors =1 x 1 = 1
LCM(857,7786) = ( 857 × 7786 ) / 1
LCM(857,7786) = 6672602 / 1
LCM(857,7786) = 6672602
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FAQs on GCF of Fractions of 8562/857, 8780/7786
1. What is the HCF of 8562,8780?
The HCF of 8562,8780 is 2
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 8562/857, 8780/7786?
Answer: GCF of Numerators as per given numbers 8562/857, 8780/7786 is
GCF of Numerators i.e. for 8562,8780 is 2
LCM of denominators i.e. for 857,7786 is 6672602.
Thus, GCF of Fractions is 2/6672602.Finally, GCF of Fractions for 8562/857, 8780/7786 is 2/6672602.