Highest Common Factor of 4348, 8535 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 4348, 8535 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4348, 8535 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 4348, 8535 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 4348, 8535 is 1.
HCF(4348, 8535) = 1
HCF of 4348, 8535 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4348, 8535 is 1.
Highest Common Factor of 4348,8535 is 1
Step 1: Since 8535 > 4348, we apply the division lemma to 8535 and 4348, to get
8535 = 4348 x 1 + 4187
Step 2: Since the reminder 4348 ≠ 0, we apply division lemma to 4187 and 4348, to get
4348 = 4187 x 1 + 161
Step 3: We consider the new divisor 4187 and the new remainder 161, and apply the division lemma to get
4187 = 161 x 26 + 1
We consider the new divisor 161 and the new remainder 1, and apply the division lemma to get
161 = 1 x 161 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4348 and 8535 is 1
Notice that 1 = HCF(161,1) = HCF(4187,161) = HCF(4348,4187) = HCF(8535,4348) .
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Frequently Asked Questions on HCF of 4348, 8535 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 4348, 8535?
Answer: HCF of 4348, 8535 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4348, 8535 using Euclid's Algorithm?
Answer: For arbitrary numbers 4348, 8535 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.