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 9386, 5383 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9386, 5383 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 9386, 5383 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 9386, 5383 is 1.
HCF(9386, 5383) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9386, 5383 is 1.
Step 1: Since 9386 > 5383, we apply the division lemma to 9386 and 5383, to get
9386 = 5383 x 1 + 4003
Step 2: Since the reminder 5383 ≠ 0, we apply division lemma to 4003 and 5383, to get
5383 = 4003 x 1 + 1380
Step 3: We consider the new divisor 4003 and the new remainder 1380, and apply the division lemma to get
4003 = 1380 x 2 + 1243
We consider the new divisor 1380 and the new remainder 1243,and apply the division lemma to get
1380 = 1243 x 1 + 137
We consider the new divisor 1243 and the new remainder 137,and apply the division lemma to get
1243 = 137 x 9 + 10
We consider the new divisor 137 and the new remainder 10,and apply the division lemma to get
137 = 10 x 13 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9386 and 5383 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(137,10) = HCF(1243,137) = HCF(1380,1243) = HCF(4003,1380) = HCF(5383,4003) = HCF(9386,5383) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 9386, 5383?
Answer: HCF of 9386, 5383 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9386, 5383 using Euclid's Algorithm?
Answer: For arbitrary numbers 9386, 5383 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.