Highest Common Factor of 484, 832, 682 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 484, 832, 682 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 484, 832, 682 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 484, 832, 682 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 484, 832, 682 is 2.
HCF(484, 832, 682) = 2
HCF of 484, 832, 682 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 484, 832, 682 is 2.
Highest Common Factor of 484,832,682 is 2
Step 1: Since 832 > 484, we apply the division lemma to 832 and 484, to get
832 = 484 x 1 + 348
Step 2: Since the reminder 484 ≠ 0, we apply division lemma to 348 and 484, to get
484 = 348 x 1 + 136
Step 3: We consider the new divisor 348 and the new remainder 136, and apply the division lemma to get
348 = 136 x 2 + 76
We consider the new divisor 136 and the new remainder 76,and apply the division lemma to get
136 = 76 x 1 + 60
We consider the new divisor 76 and the new remainder 60,and apply the division lemma to get
76 = 60 x 1 + 16
We consider the new divisor 60 and the new remainder 16,and apply the division lemma to get
60 = 16 x 3 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 484 and 832 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(60,16) = HCF(76,60) = HCF(136,76) = HCF(348,136) = HCF(484,348) = HCF(832,484) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 682 > 4, we apply the division lemma to 682 and 4, to get
682 = 4 x 170 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4 and 682 is 2
Notice that 2 = HCF(4,2) = HCF(682,4) .
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Frequently Asked Questions on HCF of 484, 832, 682 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 484, 832, 682?
Answer: HCF of 484, 832, 682 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 484, 832, 682 using Euclid's Algorithm?
Answer: For arbitrary numbers 484, 832, 682 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.