Highest Common Factor of 4534, 7292 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 4534, 7292 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4534, 7292 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 4534, 7292 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 4534, 7292 is 2.
HCF(4534, 7292) = 2
HCF of 4534, 7292 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4534, 7292 is 2.
Highest Common Factor of 4534,7292 is 2
Step 1: Since 7292 > 4534, we apply the division lemma to 7292 and 4534, to get
7292 = 4534 x 1 + 2758
Step 2: Since the reminder 4534 ≠ 0, we apply division lemma to 2758 and 4534, to get
4534 = 2758 x 1 + 1776
Step 3: We consider the new divisor 2758 and the new remainder 1776, and apply the division lemma to get
2758 = 1776 x 1 + 982
We consider the new divisor 1776 and the new remainder 982,and apply the division lemma to get
1776 = 982 x 1 + 794
We consider the new divisor 982 and the new remainder 794,and apply the division lemma to get
982 = 794 x 1 + 188
We consider the new divisor 794 and the new remainder 188,and apply the division lemma to get
794 = 188 x 4 + 42
We consider the new divisor 188 and the new remainder 42,and apply the division lemma to get
188 = 42 x 4 + 20
We consider the new divisor 42 and the new remainder 20,and apply the division lemma to get
42 = 20 x 2 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4534 and 7292 is 2
Notice that 2 = HCF(20,2) = HCF(42,20) = HCF(188,42) = HCF(794,188) = HCF(982,794) = HCF(1776,982) = HCF(2758,1776) = HCF(4534,2758) = HCF(7292,4534) .
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Frequently Asked Questions on HCF of 4534, 7292 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 4534, 7292?
Answer: HCF of 4534, 7292 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4534, 7292 using Euclid's Algorithm?
Answer: For arbitrary numbers 4534, 7292 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.