Highest Common Factor of 5411, 2968 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 5411, 2968 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 5411, 2968 is 7 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 5411, 2968 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 5411, 2968 is 7.
HCF(5411, 2968) = 7
HCF of 5411, 2968 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5411, 2968 is 7.
Highest Common Factor of 5411,2968 is 7
Step 1: Since 5411 > 2968, we apply the division lemma to 5411 and 2968, to get
5411 = 2968 x 1 + 2443
Step 2: Since the reminder 2968 ≠ 0, we apply division lemma to 2443 and 2968, to get
2968 = 2443 x 1 + 525
Step 3: We consider the new divisor 2443 and the new remainder 525, and apply the division lemma to get
2443 = 525 x 4 + 343
We consider the new divisor 525 and the new remainder 343,and apply the division lemma to get
525 = 343 x 1 + 182
We consider the new divisor 343 and the new remainder 182,and apply the division lemma to get
343 = 182 x 1 + 161
We consider the new divisor 182 and the new remainder 161,and apply the division lemma to get
182 = 161 x 1 + 21
We consider the new divisor 161 and the new remainder 21,and apply the division lemma to get
161 = 21 x 7 + 14
We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get
21 = 14 x 1 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 5411 and 2968 is 7
Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(161,21) = HCF(182,161) = HCF(343,182) = HCF(525,343) = HCF(2443,525) = HCF(2968,2443) = HCF(5411,2968) .
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Frequently Asked Questions on HCF of 5411, 2968 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 5411, 2968?
Answer: HCF of 5411, 2968 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5411, 2968 using Euclid's Algorithm?
Answer: For arbitrary numbers 5411, 2968 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.