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 858, 92355 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 858, 92355 is 3 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 858, 92355 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 858, 92355 is 3.
HCF(858, 92355) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 858, 92355 is 3.
Step 1: Since 92355 > 858, we apply the division lemma to 92355 and 858, to get
92355 = 858 x 107 + 549
Step 2: Since the reminder 858 ≠ 0, we apply division lemma to 549 and 858, to get
858 = 549 x 1 + 309
Step 3: We consider the new divisor 549 and the new remainder 309, and apply the division lemma to get
549 = 309 x 1 + 240
We consider the new divisor 309 and the new remainder 240,and apply the division lemma to get
309 = 240 x 1 + 69
We consider the new divisor 240 and the new remainder 69,and apply the division lemma to get
240 = 69 x 3 + 33
We consider the new divisor 69 and the new remainder 33,and apply the division lemma to get
69 = 33 x 2 + 3
We consider the new divisor 33 and the new remainder 3,and apply the division lemma to get
33 = 3 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 858 and 92355 is 3
Notice that 3 = HCF(33,3) = HCF(69,33) = HCF(240,69) = HCF(309,240) = HCF(549,309) = HCF(858,549) = HCF(92355,858) .
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 858, 92355?
Answer: HCF of 858, 92355 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 858, 92355 using Euclid's Algorithm?
Answer: For arbitrary numbers 858, 92355 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.