Highest Common Factor of 1762, 4936 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 1762, 4936 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1762, 4936 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 1762, 4936 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 1762, 4936 is 2.
HCF(1762, 4936) = 2
HCF of 1762, 4936 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1762, 4936 is 2.
Highest Common Factor of 1762,4936 is 2
Step 1: Since 4936 > 1762, we apply the division lemma to 4936 and 1762, to get
4936 = 1762 x 2 + 1412
Step 2: Since the reminder 1762 ≠ 0, we apply division lemma to 1412 and 1762, to get
1762 = 1412 x 1 + 350
Step 3: We consider the new divisor 1412 and the new remainder 350, and apply the division lemma to get
1412 = 350 x 4 + 12
We consider the new divisor 350 and the new remainder 12,and apply the division lemma to get
350 = 12 x 29 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1762 and 4936 is 2
Notice that 2 = HCF(12,2) = HCF(350,12) = HCF(1412,350) = HCF(1762,1412) = HCF(4936,1762) .
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Frequently Asked Questions on HCF of 1762, 4936 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 1762, 4936?
Answer: HCF of 1762, 4936 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1762, 4936 using Euclid's Algorithm?
Answer: For arbitrary numbers 1762, 4936 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.