Highest Common Factor of 636, 868, 247 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 636, 868, 247 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 636, 868, 247 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 636, 868, 247 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 636, 868, 247 is 1.
HCF(636, 868, 247) = 1
HCF of 636, 868, 247 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 636, 868, 247 is 1.
Highest Common Factor of 636,868,247 is 1
Step 1: Since 868 > 636, we apply the division lemma to 868 and 636, to get
868 = 636 x 1 + 232
Step 2: Since the reminder 636 ≠ 0, we apply division lemma to 232 and 636, to get
636 = 232 x 2 + 172
Step 3: We consider the new divisor 232 and the new remainder 172, and apply the division lemma to get
232 = 172 x 1 + 60
We consider the new divisor 172 and the new remainder 60,and apply the division lemma to get
172 = 60 x 2 + 52
We consider the new divisor 60 and the new remainder 52,and apply the division lemma to get
60 = 52 x 1 + 8
We consider the new divisor 52 and the new remainder 8,and apply the division lemma to get
52 = 8 x 6 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 636 and 868 is 4
Notice that 4 = HCF(8,4) = HCF(52,8) = HCF(60,52) = HCF(172,60) = HCF(232,172) = HCF(636,232) = HCF(868,636) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 247 > 4, we apply the division lemma to 247 and 4, to get
247 = 4 x 61 + 3
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get
4 = 3 x 1 + 1
Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 247 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(247,4) .
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Frequently Asked Questions on HCF of 636, 868, 247 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 636, 868, 247?
Answer: HCF of 636, 868, 247 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 636, 868, 247 using Euclid's Algorithm?
Answer: For arbitrary numbers 636, 868, 247 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.