Highest Common Factor of 4732, 6578 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 4732, 6578 i.e. 26 the largest integer that leaves a remainder zero for all numbers.
HCF of 4732, 6578 is 26 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 4732, 6578 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 4732, 6578 is 26.
HCF(4732, 6578) = 26
HCF of 4732, 6578 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4732, 6578 is 26.
Highest Common Factor of 4732,6578 is 26
Step 1: Since 6578 > 4732, we apply the division lemma to 6578 and 4732, to get
6578 = 4732 x 1 + 1846
Step 2: Since the reminder 4732 ≠ 0, we apply division lemma to 1846 and 4732, to get
4732 = 1846 x 2 + 1040
Step 3: We consider the new divisor 1846 and the new remainder 1040, and apply the division lemma to get
1846 = 1040 x 1 + 806
We consider the new divisor 1040 and the new remainder 806,and apply the division lemma to get
1040 = 806 x 1 + 234
We consider the new divisor 806 and the new remainder 234,and apply the division lemma to get
806 = 234 x 3 + 104
We consider the new divisor 234 and the new remainder 104,and apply the division lemma to get
234 = 104 x 2 + 26
We consider the new divisor 104 and the new remainder 26,and apply the division lemma to get
104 = 26 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 4732 and 6578 is 26
Notice that 26 = HCF(104,26) = HCF(234,104) = HCF(806,234) = HCF(1040,806) = HCF(1846,1040) = HCF(4732,1846) = HCF(6578,4732) .
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Frequently Asked Questions on HCF of 4732, 6578 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 4732, 6578?
Answer: HCF of 4732, 6578 is 26 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4732, 6578 using Euclid's Algorithm?
Answer: For arbitrary numbers 4732, 6578 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.