Highest Common Factor of 8524, 7465 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 8524, 7465 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8524, 7465 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 8524, 7465 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 8524, 7465 is 1.
HCF(8524, 7465) = 1
HCF of 8524, 7465 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8524, 7465 is 1.
Highest Common Factor of 8524,7465 is 1
Step 1: Since 8524 > 7465, we apply the division lemma to 8524 and 7465, to get
8524 = 7465 x 1 + 1059
Step 2: Since the reminder 7465 ≠ 0, we apply division lemma to 1059 and 7465, to get
7465 = 1059 x 7 + 52
Step 3: We consider the new divisor 1059 and the new remainder 52, and apply the division lemma to get
1059 = 52 x 20 + 19
We consider the new divisor 52 and the new remainder 19,and apply the division lemma to get
52 = 19 x 2 + 14
We consider the new divisor 19 and the new remainder 14,and apply the division lemma to get
19 = 14 x 1 + 5
We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get
14 = 5 x 2 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8524 and 7465 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(52,19) = HCF(1059,52) = HCF(7465,1059) = HCF(8524,7465) .
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Frequently Asked Questions on HCF of 8524, 7465 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 8524, 7465?
Answer: HCF of 8524, 7465 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8524, 7465 using Euclid's Algorithm?
Answer: For arbitrary numbers 8524, 7465 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
