Highest Common Factor of 8832, 4906 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 8832, 4906 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8832, 4906 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 8832, 4906 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 8832, 4906 is 2.
HCF(8832, 4906) = 2
HCF of 8832, 4906 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8832, 4906 is 2.
Highest Common Factor of 8832,4906 is 2
Step 1: Since 8832 > 4906, we apply the division lemma to 8832 and 4906, to get
8832 = 4906 x 1 + 3926
Step 2: Since the reminder 4906 ≠ 0, we apply division lemma to 3926 and 4906, to get
4906 = 3926 x 1 + 980
Step 3: We consider the new divisor 3926 and the new remainder 980, and apply the division lemma to get
3926 = 980 x 4 + 6
We consider the new divisor 980 and the new remainder 6,and apply the division lemma to get
980 = 6 x 163 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8832 and 4906 is 2
Notice that 2 = HCF(6,2) = HCF(980,6) = HCF(3926,980) = HCF(4906,3926) = HCF(8832,4906) .
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Frequently Asked Questions on HCF of 8832, 4906 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 8832, 4906?
Answer: HCF of 8832, 4906 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8832, 4906 using Euclid's Algorithm?
Answer: For arbitrary numbers 8832, 4906 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.