Highest Common Factor of 7302, 5969 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 7302, 5969 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7302, 5969 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 7302, 5969 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 7302, 5969 is 1.
HCF(7302, 5969) = 1
HCF of 7302, 5969 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7302, 5969 is 1.
Highest Common Factor of 7302,5969 is 1
Step 1: Since 7302 > 5969, we apply the division lemma to 7302 and 5969, to get
7302 = 5969 x 1 + 1333
Step 2: Since the reminder 5969 ≠ 0, we apply division lemma to 1333 and 5969, to get
5969 = 1333 x 4 + 637
Step 3: We consider the new divisor 1333 and the new remainder 637, and apply the division lemma to get
1333 = 637 x 2 + 59
We consider the new divisor 637 and the new remainder 59,and apply the division lemma to get
637 = 59 x 10 + 47
We consider the new divisor 59 and the new remainder 47,and apply the division lemma to get
59 = 47 x 1 + 12
We consider the new divisor 47 and the new remainder 12,and apply the division lemma to get
47 = 12 x 3 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7302 and 5969 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(47,12) = HCF(59,47) = HCF(637,59) = HCF(1333,637) = HCF(5969,1333) = HCF(7302,5969) .
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Frequently Asked Questions on HCF of 7302, 5969 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 7302, 5969?
Answer: HCF of 7302, 5969 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7302, 5969 using Euclid's Algorithm?
Answer: For arbitrary numbers 7302, 5969 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.