Highest Common Factor of 862, 624 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 862, 624 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 862, 624 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 862, 624 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 862, 624 is 2.
HCF(862, 624) = 2
HCF of 862, 624 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 862, 624 is 2.
Highest Common Factor of 862,624 is 2
Step 1: Since 862 > 624, we apply the division lemma to 862 and 624, to get
862 = 624 x 1 + 238
Step 2: Since the reminder 624 ≠ 0, we apply division lemma to 238 and 624, to get
624 = 238 x 2 + 148
Step 3: We consider the new divisor 238 and the new remainder 148, and apply the division lemma to get
238 = 148 x 1 + 90
We consider the new divisor 148 and the new remainder 90,and apply the division lemma to get
148 = 90 x 1 + 58
We consider the new divisor 90 and the new remainder 58,and apply the division lemma to get
90 = 58 x 1 + 32
We consider the new divisor 58 and the new remainder 32,and apply the division lemma to get
58 = 32 x 1 + 26
We consider the new divisor 32 and the new remainder 26,and apply the division lemma to get
32 = 26 x 1 + 6
We consider the new divisor 26 and the new remainder 6,and apply the division lemma to get
26 = 6 x 4 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 862 and 624 is 2
Notice that 2 = HCF(6,2) = HCF(26,6) = HCF(32,26) = HCF(58,32) = HCF(90,58) = HCF(148,90) = HCF(238,148) = HCF(624,238) = HCF(862,624) .
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Frequently Asked Questions on HCF of 862, 624 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 862, 624?
Answer: HCF of 862, 624 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 862, 624 using Euclid's Algorithm?
Answer: For arbitrary numbers 862, 624 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.