Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 8099, 865 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8099, 865 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 8099, 865 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 8099, 865 is 1.
HCF(8099, 865) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8099, 865 is 1.
Step 1: Since 8099 > 865, we apply the division lemma to 8099 and 865, to get
8099 = 865 x 9 + 314
Step 2: Since the reminder 865 ≠ 0, we apply division lemma to 314 and 865, to get
865 = 314 x 2 + 237
Step 3: We consider the new divisor 314 and the new remainder 237, and apply the division lemma to get
314 = 237 x 1 + 77
We consider the new divisor 237 and the new remainder 77,and apply the division lemma to get
237 = 77 x 3 + 6
We consider the new divisor 77 and the new remainder 6,and apply the division lemma to get
77 = 6 x 12 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8099 and 865 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(77,6) = HCF(237,77) = HCF(314,237) = HCF(865,314) = HCF(8099,865) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 8099, 865?
Answer: HCF of 8099, 865 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8099, 865 using Euclid's Algorithm?
Answer: For arbitrary numbers 8099, 865 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.