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 5132, 9379 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5132, 9379 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 5132, 9379 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 5132, 9379 is 1.
HCF(5132, 9379) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5132, 9379 is 1.
Step 1: Since 9379 > 5132, we apply the division lemma to 9379 and 5132, to get
9379 = 5132 x 1 + 4247
Step 2: Since the reminder 5132 ≠ 0, we apply division lemma to 4247 and 5132, to get
5132 = 4247 x 1 + 885
Step 3: We consider the new divisor 4247 and the new remainder 885, and apply the division lemma to get
4247 = 885 x 4 + 707
We consider the new divisor 885 and the new remainder 707,and apply the division lemma to get
885 = 707 x 1 + 178
We consider the new divisor 707 and the new remainder 178,and apply the division lemma to get
707 = 178 x 3 + 173
We consider the new divisor 178 and the new remainder 173,and apply the division lemma to get
178 = 173 x 1 + 5
We consider the new divisor 173 and the new remainder 5,and apply the division lemma to get
173 = 5 x 34 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5132 and 9379 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(173,5) = HCF(178,173) = HCF(707,178) = HCF(885,707) = HCF(4247,885) = HCF(5132,4247) = HCF(9379,5132) .
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 5132, 9379?
Answer: HCF of 5132, 9379 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5132, 9379 using Euclid's Algorithm?
Answer: For arbitrary numbers 5132, 9379 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.