Highest Common Factor of 695, 860, 910, 212 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 695, 860, 910, 212 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 695, 860, 910, 212 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 695, 860, 910, 212 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 695, 860, 910, 212 is 1.
HCF(695, 860, 910, 212) = 1
HCF of 695, 860, 910, 212 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 695, 860, 910, 212 is 1.
Highest Common Factor of 695,860,910,212 is 1
Step 1: Since 860 > 695, we apply the division lemma to 860 and 695, to get
860 = 695 x 1 + 165
Step 2: Since the reminder 695 ≠ 0, we apply division lemma to 165 and 695, to get
695 = 165 x 4 + 35
Step 3: We consider the new divisor 165 and the new remainder 35, and apply the division lemma to get
165 = 35 x 4 + 25
We consider the new divisor 35 and the new remainder 25,and apply the division lemma to get
35 = 25 x 1 + 10
We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get
25 = 10 x 2 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 695 and 860 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(35,25) = HCF(165,35) = HCF(695,165) = HCF(860,695) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 910 > 5, we apply the division lemma to 910 and 5, to get
910 = 5 x 182 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 910 is 5
Notice that 5 = HCF(910,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 212 > 5, we apply the division lemma to 212 and 5, to get
212 = 5 x 42 + 2
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 2 and 5, to get
5 = 2 x 2 + 1
Step 3: 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 5 and 212 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(212,5) .
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Frequently Asked Questions on HCF of 695, 860, 910, 212 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 695, 860, 910, 212?
Answer: HCF of 695, 860, 910, 212 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 695, 860, 910, 212 using Euclid's Algorithm?
Answer: For arbitrary numbers 695, 860, 910, 212 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.