Highest Common Factor of 9732, 5838, 88360 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 9732, 5838, 88360 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9732, 5838, 88360 is 2 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 9732, 5838, 88360 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 9732, 5838, 88360 is 2.
HCF(9732, 5838, 88360) = 2
HCF of 9732, 5838, 88360 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9732, 5838, 88360 is 2.
Highest Common Factor of 9732,5838,88360 is 2
Step 1: Since 9732 > 5838, we apply the division lemma to 9732 and 5838, to get
9732 = 5838 x 1 + 3894
Step 2: Since the reminder 5838 ≠ 0, we apply division lemma to 3894 and 5838, to get
5838 = 3894 x 1 + 1944
Step 3: We consider the new divisor 3894 and the new remainder 1944, and apply the division lemma to get
3894 = 1944 x 2 + 6
We consider the new divisor 1944 and the new remainder 6, and apply the division lemma to get
1944 = 6 x 324 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 9732 and 5838 is 6
Notice that 6 = HCF(1944,6) = HCF(3894,1944) = HCF(5838,3894) = HCF(9732,5838) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 88360 > 6, we apply the division lemma to 88360 and 6, to get
88360 = 6 x 14726 + 4
Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 4 and 6, to get
6 = 4 x 1 + 2
Step 3: We consider the new divisor 4 and the new remainder 2, and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6 and 88360 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(88360,6) .
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Frequently Asked Questions on HCF of 9732, 5838, 88360 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 9732, 5838, 88360?
Answer: HCF of 9732, 5838, 88360 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9732, 5838, 88360 using Euclid's Algorithm?
Answer: For arbitrary numbers 9732, 5838, 88360 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.