Highest Common Factor of 886, 694, 170 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 886, 694, 170 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 886, 694, 170 is 2 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 886, 694, 170 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 886, 694, 170 is 2.
HCF(886, 694, 170) = 2
HCF of 886, 694, 170 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 886, 694, 170 is 2.
Highest Common Factor of 886,694,170 is 2
Step 1: Since 886 > 694, we apply the division lemma to 886 and 694, to get
886 = 694 x 1 + 192
Step 2: Since the reminder 694 ≠ 0, we apply division lemma to 192 and 694, to get
694 = 192 x 3 + 118
Step 3: We consider the new divisor 192 and the new remainder 118, and apply the division lemma to get
192 = 118 x 1 + 74
We consider the new divisor 118 and the new remainder 74,and apply the division lemma to get
118 = 74 x 1 + 44
We consider the new divisor 74 and the new remainder 44,and apply the division lemma to get
74 = 44 x 1 + 30
We consider the new divisor 44 and the new remainder 30,and apply the division lemma to get
44 = 30 x 1 + 14
We consider the new divisor 30 and the new remainder 14,and apply the division lemma to get
30 = 14 x 2 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 886 and 694 is 2
Notice that 2 = HCF(14,2) = HCF(30,14) = HCF(44,30) = HCF(74,44) = HCF(118,74) = HCF(192,118) = HCF(694,192) = HCF(886,694) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 170 > 2, we apply the division lemma to 170 and 2, to get
170 = 2 x 85 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 170 is 2
Notice that 2 = HCF(170,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 886, 694, 170 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 886, 694, 170?
Answer: HCF of 886, 694, 170 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 886, 694, 170 using Euclid's Algorithm?
Answer: For arbitrary numbers 886, 694, 170 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.