Highest Common Factor of 5464, 3465 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 5464, 3465 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5464, 3465 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 5464, 3465 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 5464, 3465 is 1.
HCF(5464, 3465) = 1
HCF of 5464, 3465 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5464, 3465 is 1.
Highest Common Factor of 5464,3465 is 1
Step 1: Since 5464 > 3465, we apply the division lemma to 5464 and 3465, to get
5464 = 3465 x 1 + 1999
Step 2: Since the reminder 3465 ≠ 0, we apply division lemma to 1999 and 3465, to get
3465 = 1999 x 1 + 1466
Step 3: We consider the new divisor 1999 and the new remainder 1466, and apply the division lemma to get
1999 = 1466 x 1 + 533
We consider the new divisor 1466 and the new remainder 533,and apply the division lemma to get
1466 = 533 x 2 + 400
We consider the new divisor 533 and the new remainder 400,and apply the division lemma to get
533 = 400 x 1 + 133
We consider the new divisor 400 and the new remainder 133,and apply the division lemma to get
400 = 133 x 3 + 1
We consider the new divisor 133 and the new remainder 1,and apply the division lemma to get
133 = 1 x 133 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5464 and 3465 is 1
Notice that 1 = HCF(133,1) = HCF(400,133) = HCF(533,400) = HCF(1466,533) = HCF(1999,1466) = HCF(3465,1999) = HCF(5464,3465) .
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Frequently Asked Questions on HCF of 5464, 3465 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 5464, 3465?
Answer: HCF of 5464, 3465 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5464, 3465 using Euclid's Algorithm?
Answer: For arbitrary numbers 5464, 3465 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.