Highest Common Factor of 5959, 9238 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 5959, 9238 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5959, 9238 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 5959, 9238 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 5959, 9238 is 1.
HCF(5959, 9238) = 1
HCF of 5959, 9238 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5959, 9238 is 1.
Highest Common Factor of 5959,9238 is 1
Step 1: Since 9238 > 5959, we apply the division lemma to 9238 and 5959, to get
9238 = 5959 x 1 + 3279
Step 2: Since the reminder 5959 ≠ 0, we apply division lemma to 3279 and 5959, to get
5959 = 3279 x 1 + 2680
Step 3: We consider the new divisor 3279 and the new remainder 2680, and apply the division lemma to get
3279 = 2680 x 1 + 599
We consider the new divisor 2680 and the new remainder 599,and apply the division lemma to get
2680 = 599 x 4 + 284
We consider the new divisor 599 and the new remainder 284,and apply the division lemma to get
599 = 284 x 2 + 31
We consider the new divisor 284 and the new remainder 31,and apply the division lemma to get
284 = 31 x 9 + 5
We consider the new divisor 31 and the new remainder 5,and apply the division lemma to get
31 = 5 x 6 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5959 and 9238 is 1
Notice that 1 = HCF(5,1) = HCF(31,5) = HCF(284,31) = HCF(599,284) = HCF(2680,599) = HCF(3279,2680) = HCF(5959,3279) = HCF(9238,5959) .
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Frequently Asked Questions on HCF of 5959, 9238 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 5959, 9238?
Answer: HCF of 5959, 9238 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5959, 9238 using Euclid's Algorithm?
Answer: For arbitrary numbers 5959, 9238 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.