Highest Common Factor of 5464, 3381 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, 3381 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5464, 3381 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, 3381 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, 3381 is 1.
HCF(5464, 3381) = 1
HCF of 5464, 3381 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, 3381 is 1.
Highest Common Factor of 5464,3381 is 1
Step 1: Since 5464 > 3381, we apply the division lemma to 5464 and 3381, to get
5464 = 3381 x 1 + 2083
Step 2: Since the reminder 3381 ≠ 0, we apply division lemma to 2083 and 3381, to get
3381 = 2083 x 1 + 1298
Step 3: We consider the new divisor 2083 and the new remainder 1298, and apply the division lemma to get
2083 = 1298 x 1 + 785
We consider the new divisor 1298 and the new remainder 785,and apply the division lemma to get
1298 = 785 x 1 + 513
We consider the new divisor 785 and the new remainder 513,and apply the division lemma to get
785 = 513 x 1 + 272
We consider the new divisor 513 and the new remainder 272,and apply the division lemma to get
513 = 272 x 1 + 241
We consider the new divisor 272 and the new remainder 241,and apply the division lemma to get
272 = 241 x 1 + 31
We consider the new divisor 241 and the new remainder 31,and apply the division lemma to get
241 = 31 x 7 + 24
We consider the new divisor 31 and the new remainder 24,and apply the division lemma to get
31 = 24 x 1 + 7
We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get
24 = 7 x 3 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5464 and 3381 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(31,24) = HCF(241,31) = HCF(272,241) = HCF(513,272) = HCF(785,513) = HCF(1298,785) = HCF(2083,1298) = HCF(3381,2083) = HCF(5464,3381) .
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Frequently Asked Questions on HCF of 5464, 3381 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, 3381?
Answer: HCF of 5464, 3381 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5464, 3381 using Euclid's Algorithm?
Answer: For arbitrary numbers 5464, 3381 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.