Highest Common Factor of 5964, 7051 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 5964, 7051 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5964, 7051 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 5964, 7051 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 5964, 7051 is 1.
HCF(5964, 7051) = 1
HCF of 5964, 7051 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5964, 7051 is 1.
Highest Common Factor of 5964,7051 is 1
Step 1: Since 7051 > 5964, we apply the division lemma to 7051 and 5964, to get
7051 = 5964 x 1 + 1087
Step 2: Since the reminder 5964 ≠ 0, we apply division lemma to 1087 and 5964, to get
5964 = 1087 x 5 + 529
Step 3: We consider the new divisor 1087 and the new remainder 529, and apply the division lemma to get
1087 = 529 x 2 + 29
We consider the new divisor 529 and the new remainder 29,and apply the division lemma to get
529 = 29 x 18 + 7
We consider the new divisor 29 and the new remainder 7,and apply the division lemma to get
29 = 7 x 4 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5964 and 7051 is 1
Notice that 1 = HCF(7,1) = HCF(29,7) = HCF(529,29) = HCF(1087,529) = HCF(5964,1087) = HCF(7051,5964) .
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Frequently Asked Questions on HCF of 5964, 7051 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 5964, 7051?
Answer: HCF of 5964, 7051 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5964, 7051 using Euclid's Algorithm?
Answer: For arbitrary numbers 5964, 7051 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.