Highest Common Factor of 5477, 3240 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 5477, 3240 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5477, 3240 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 5477, 3240 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 5477, 3240 is 1.
HCF(5477, 3240) = 1
HCF of 5477, 3240 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5477, 3240 is 1.
Highest Common Factor of 5477,3240 is 1
Step 1: Since 5477 > 3240, we apply the division lemma to 5477 and 3240, to get
5477 = 3240 x 1 + 2237
Step 2: Since the reminder 3240 ≠ 0, we apply division lemma to 2237 and 3240, to get
3240 = 2237 x 1 + 1003
Step 3: We consider the new divisor 2237 and the new remainder 1003, and apply the division lemma to get
2237 = 1003 x 2 + 231
We consider the new divisor 1003 and the new remainder 231,and apply the division lemma to get
1003 = 231 x 4 + 79
We consider the new divisor 231 and the new remainder 79,and apply the division lemma to get
231 = 79 x 2 + 73
We consider the new divisor 79 and the new remainder 73,and apply the division lemma to get
79 = 73 x 1 + 6
We consider the new divisor 73 and the new remainder 6,and apply the division lemma to get
73 = 6 x 12 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5477 and 3240 is 1
Notice that 1 = HCF(6,1) = HCF(73,6) = HCF(79,73) = HCF(231,79) = HCF(1003,231) = HCF(2237,1003) = HCF(3240,2237) = HCF(5477,3240) .
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Frequently Asked Questions on HCF of 5477, 3240 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 5477, 3240?
Answer: HCF of 5477, 3240 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5477, 3240 using Euclid's Algorithm?
Answer: For arbitrary numbers 5477, 3240 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
