Highest Common Factor of 5969, 9153 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 5969, 9153 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5969, 9153 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 5969, 9153 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 5969, 9153 is 1.
HCF(5969, 9153) = 1
HCF of 5969, 9153 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5969, 9153 is 1.
Highest Common Factor of 5969,9153 is 1
Step 1: Since 9153 > 5969, we apply the division lemma to 9153 and 5969, to get
9153 = 5969 x 1 + 3184
Step 2: Since the reminder 5969 ≠ 0, we apply division lemma to 3184 and 5969, to get
5969 = 3184 x 1 + 2785
Step 3: We consider the new divisor 3184 and the new remainder 2785, and apply the division lemma to get
3184 = 2785 x 1 + 399
We consider the new divisor 2785 and the new remainder 399,and apply the division lemma to get
2785 = 399 x 6 + 391
We consider the new divisor 399 and the new remainder 391,and apply the division lemma to get
399 = 391 x 1 + 8
We consider the new divisor 391 and the new remainder 8,and apply the division lemma to get
391 = 8 x 48 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 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 5969 and 9153 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(391,8) = HCF(399,391) = HCF(2785,399) = HCF(3184,2785) = HCF(5969,3184) = HCF(9153,5969) .
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Frequently Asked Questions on HCF of 5969, 9153 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 5969, 9153?
Answer: HCF of 5969, 9153 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5969, 9153 using Euclid's Algorithm?
Answer: For arbitrary numbers 5969, 9153 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.