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 5534, 7591 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5534, 7591 is 1 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 5534, 7591 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 5534, 7591 is 1.
HCF(5534, 7591) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5534, 7591 is 1.
Step 1: Since 7591 > 5534, we apply the division lemma to 7591 and 5534, to get
7591 = 5534 x 1 + 2057
Step 2: Since the reminder 5534 ≠ 0, we apply division lemma to 2057 and 5534, to get
5534 = 2057 x 2 + 1420
Step 3: We consider the new divisor 2057 and the new remainder 1420, and apply the division lemma to get
2057 = 1420 x 1 + 637
We consider the new divisor 1420 and the new remainder 637,and apply the division lemma to get
1420 = 637 x 2 + 146
We consider the new divisor 637 and the new remainder 146,and apply the division lemma to get
637 = 146 x 4 + 53
We consider the new divisor 146 and the new remainder 53,and apply the division lemma to get
146 = 53 x 2 + 40
We consider the new divisor 53 and the new remainder 40,and apply the division lemma to get
53 = 40 x 1 + 13
We consider the new divisor 40 and the new remainder 13,and apply the division lemma to get
40 = 13 x 3 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5534 and 7591 is 1
Notice that 1 = HCF(13,1) = HCF(40,13) = HCF(53,40) = HCF(146,53) = HCF(637,146) = HCF(1420,637) = HCF(2057,1420) = HCF(5534,2057) = HCF(7591,5534) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5534, 7591?
Answer: HCF of 5534, 7591 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5534, 7591 using Euclid's Algorithm?
Answer: For arbitrary numbers 5534, 7591 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.