Highest Common Factor of 3454, 4989 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 3454, 4989 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3454, 4989 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 3454, 4989 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 3454, 4989 is 1.
HCF(3454, 4989) = 1
HCF of 3454, 4989 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3454, 4989 is 1.
Highest Common Factor of 3454,4989 is 1
Step 1: Since 4989 > 3454, we apply the division lemma to 4989 and 3454, to get
4989 = 3454 x 1 + 1535
Step 2: Since the reminder 3454 ≠ 0, we apply division lemma to 1535 and 3454, to get
3454 = 1535 x 2 + 384
Step 3: We consider the new divisor 1535 and the new remainder 384, and apply the division lemma to get
1535 = 384 x 3 + 383
We consider the new divisor 384 and the new remainder 383,and apply the division lemma to get
384 = 383 x 1 + 1
We consider the new divisor 383 and the new remainder 1,and apply the division lemma to get
383 = 1 x 383 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3454 and 4989 is 1
Notice that 1 = HCF(383,1) = HCF(384,383) = HCF(1535,384) = HCF(3454,1535) = HCF(4989,3454) .
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Frequently Asked Questions on HCF of 3454, 4989 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 3454, 4989?
Answer: HCF of 3454, 4989 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3454, 4989 using Euclid's Algorithm?
Answer: For arbitrary numbers 3454, 4989 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.