Highest Common Factor of 5076, 3441 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 5076, 3441 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5076, 3441 is 3 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 5076, 3441 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 5076, 3441 is 3.
HCF(5076, 3441) = 3
HCF of 5076, 3441 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5076, 3441 is 3.
Highest Common Factor of 5076,3441 is 3
Step 1: Since 5076 > 3441, we apply the division lemma to 5076 and 3441, to get
5076 = 3441 x 1 + 1635
Step 2: Since the reminder 3441 ≠ 0, we apply division lemma to 1635 and 3441, to get
3441 = 1635 x 2 + 171
Step 3: We consider the new divisor 1635 and the new remainder 171, and apply the division lemma to get
1635 = 171 x 9 + 96
We consider the new divisor 171 and the new remainder 96,and apply the division lemma to get
171 = 96 x 1 + 75
We consider the new divisor 96 and the new remainder 75,and apply the division lemma to get
96 = 75 x 1 + 21
We consider the new divisor 75 and the new remainder 21,and apply the division lemma to get
75 = 21 x 3 + 12
We consider the new divisor 21 and the new remainder 12,and apply the division lemma to get
21 = 12 x 1 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5076 and 3441 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(21,12) = HCF(75,21) = HCF(96,75) = HCF(171,96) = HCF(1635,171) = HCF(3441,1635) = HCF(5076,3441) .
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Frequently Asked Questions on HCF of 5076, 3441 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 5076, 3441?
Answer: HCF of 5076, 3441 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5076, 3441 using Euclid's Algorithm?
Answer: For arbitrary numbers 5076, 3441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.