Highest Common Factor of 836, 6182, 4631 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 836, 6182, 4631 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 836, 6182, 4631 is 11 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 836, 6182, 4631 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 836, 6182, 4631 is 11.
HCF(836, 6182, 4631) = 11
HCF of 836, 6182, 4631 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 836, 6182, 4631 is 11.
Highest Common Factor of 836,6182,4631 is 11
Step 1: Since 6182 > 836, we apply the division lemma to 6182 and 836, to get
6182 = 836 x 7 + 330
Step 2: Since the reminder 836 ≠ 0, we apply division lemma to 330 and 836, to get
836 = 330 x 2 + 176
Step 3: We consider the new divisor 330 and the new remainder 176, and apply the division lemma to get
330 = 176 x 1 + 154
We consider the new divisor 176 and the new remainder 154,and apply the division lemma to get
176 = 154 x 1 + 22
We consider the new divisor 154 and the new remainder 22,and apply the division lemma to get
154 = 22 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 836 and 6182 is 22
Notice that 22 = HCF(154,22) = HCF(176,154) = HCF(330,176) = HCF(836,330) = HCF(6182,836) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4631 > 22, we apply the division lemma to 4631 and 22, to get
4631 = 22 x 210 + 11
Step 2: Since the reminder 22 ≠ 0, we apply division lemma to 11 and 22, to get
22 = 11 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 22 and 4631 is 11
Notice that 11 = HCF(22,11) = HCF(4631,22) .
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Frequently Asked Questions on HCF of 836, 6182, 4631 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 836, 6182, 4631?
Answer: HCF of 836, 6182, 4631 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 836, 6182, 4631 using Euclid's Algorithm?
Answer: For arbitrary numbers 836, 6182, 4631 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.