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 869, 97967 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 869, 97967 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 869, 97967 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 869, 97967 is 1.
HCF(869, 97967) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 869, 97967 is 1.
Step 1: Since 97967 > 869, we apply the division lemma to 97967 and 869, to get
97967 = 869 x 112 + 639
Step 2: Since the reminder 869 ≠ 0, we apply division lemma to 639 and 869, to get
869 = 639 x 1 + 230
Step 3: We consider the new divisor 639 and the new remainder 230, and apply the division lemma to get
639 = 230 x 2 + 179
We consider the new divisor 230 and the new remainder 179,and apply the division lemma to get
230 = 179 x 1 + 51
We consider the new divisor 179 and the new remainder 51,and apply the division lemma to get
179 = 51 x 3 + 26
We consider the new divisor 51 and the new remainder 26,and apply the division lemma to get
51 = 26 x 1 + 25
We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get
26 = 25 x 1 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 869 and 97967 is 1
Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(51,26) = HCF(179,51) = HCF(230,179) = HCF(639,230) = HCF(869,639) = HCF(97967,869) .
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 869, 97967?
Answer: HCF of 869, 97967 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 869, 97967 using Euclid's Algorithm?
Answer: For arbitrary numbers 869, 97967 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.