Highest Common Factor of 9464, 2535 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 9464, 2535 i.e. 169 the largest integer that leaves a remainder zero for all numbers.
HCF of 9464, 2535 is 169 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 9464, 2535 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 9464, 2535 is 169.
HCF(9464, 2535) = 169
HCF of 9464, 2535 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9464, 2535 is 169.
Highest Common Factor of 9464,2535 is 169
Step 1: Since 9464 > 2535, we apply the division lemma to 9464 and 2535, to get
9464 = 2535 x 3 + 1859
Step 2: Since the reminder 2535 ≠ 0, we apply division lemma to 1859 and 2535, to get
2535 = 1859 x 1 + 676
Step 3: We consider the new divisor 1859 and the new remainder 676, and apply the division lemma to get
1859 = 676 x 2 + 507
We consider the new divisor 676 and the new remainder 507,and apply the division lemma to get
676 = 507 x 1 + 169
We consider the new divisor 507 and the new remainder 169,and apply the division lemma to get
507 = 169 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 169, the HCF of 9464 and 2535 is 169
Notice that 169 = HCF(507,169) = HCF(676,507) = HCF(1859,676) = HCF(2535,1859) = HCF(9464,2535) .
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Frequently Asked Questions on HCF of 9464, 2535 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 9464, 2535?
Answer: HCF of 9464, 2535 is 169 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9464, 2535 using Euclid's Algorithm?
Answer: For arbitrary numbers 9464, 2535 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
