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 859, 95946 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 859, 95946 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 859, 95946 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 859, 95946 is 1.
HCF(859, 95946) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 859, 95946 is 1.
Step 1: Since 95946 > 859, we apply the division lemma to 95946 and 859, to get
95946 = 859 x 111 + 597
Step 2: Since the reminder 859 ≠ 0, we apply division lemma to 597 and 859, to get
859 = 597 x 1 + 262
Step 3: We consider the new divisor 597 and the new remainder 262, and apply the division lemma to get
597 = 262 x 2 + 73
We consider the new divisor 262 and the new remainder 73,and apply the division lemma to get
262 = 73 x 3 + 43
We consider the new divisor 73 and the new remainder 43,and apply the division lemma to get
73 = 43 x 1 + 30
We consider the new divisor 43 and the new remainder 30,and apply the division lemma to get
43 = 30 x 1 + 13
We consider the new divisor 30 and the new remainder 13,and apply the division lemma to get
30 = 13 x 2 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 859 and 95946 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(30,13) = HCF(43,30) = HCF(73,43) = HCF(262,73) = HCF(597,262) = HCF(859,597) = HCF(95946,859) .
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 859, 95946?
Answer: HCF of 859, 95946 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 859, 95946 using Euclid's Algorithm?
Answer: For arbitrary numbers 859, 95946 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.