Highest Common Factor of 732, 1846 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 732, 1846 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 732, 1846 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 732, 1846 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 732, 1846 is 2.
HCF(732, 1846) = 2
HCF of 732, 1846 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 732, 1846 is 2.
Highest Common Factor of 732,1846 is 2
Step 1: Since 1846 > 732, we apply the division lemma to 1846 and 732, to get
1846 = 732 x 2 + 382
Step 2: Since the reminder 732 ≠ 0, we apply division lemma to 382 and 732, to get
732 = 382 x 1 + 350
Step 3: We consider the new divisor 382 and the new remainder 350, and apply the division lemma to get
382 = 350 x 1 + 32
We consider the new divisor 350 and the new remainder 32,and apply the division lemma to get
350 = 32 x 10 + 30
We consider the new divisor 32 and the new remainder 30,and apply the division lemma to get
32 = 30 x 1 + 2
We consider the new divisor 30 and the new remainder 2,and apply the division lemma to get
30 = 2 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 732 and 1846 is 2
Notice that 2 = HCF(30,2) = HCF(32,30) = HCF(350,32) = HCF(382,350) = HCF(732,382) = HCF(1846,732) .
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Frequently Asked Questions on HCF of 732, 1846 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 732, 1846?
Answer: HCF of 732, 1846 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 732, 1846 using Euclid's Algorithm?
Answer: For arbitrary numbers 732, 1846 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.