Highest Common Factor of 850, 85, 636 using Euclid's algorithm
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 850, 85, 636 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 850, 85, 636 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 850, 85, 636 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 850, 85, 636 is 1.
HCF(850, 85, 636) = 1
HCF of 850, 85, 636 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 850, 85, 636 is 1.
Highest Common Factor of 850,85,636 is 1
Step 1: Since 850 > 85, we apply the division lemma to 850 and 85, to get
850 = 85 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 85, the HCF of 850 and 85 is 85
Notice that 85 = HCF(850,85) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 636 > 85, we apply the division lemma to 636 and 85, to get
636 = 85 x 7 + 41
Step 2: Since the reminder 85 ≠ 0, we apply division lemma to 41 and 85, to get
85 = 41 x 2 + 3
Step 3: We consider the new divisor 41 and the new remainder 3, and apply the division lemma to get
41 = 3 x 13 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 85 and 636 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(41,3) = HCF(85,41) = HCF(636,85) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 850, 85, 636 using Euclid's Algorithm
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 850, 85, 636?
Answer: HCF of 850, 85, 636 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 850, 85, 636 using Euclid's Algorithm?
Answer: For arbitrary numbers 850, 85, 636 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.