Highest Common Factor of 8762, 4830 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 8762, 4830 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8762, 4830 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 8762, 4830 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 8762, 4830 is 2.
HCF(8762, 4830) = 2
HCF of 8762, 4830 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8762, 4830 is 2.
Highest Common Factor of 8762,4830 is 2
Step 1: Since 8762 > 4830, we apply the division lemma to 8762 and 4830, to get
8762 = 4830 x 1 + 3932
Step 2: Since the reminder 4830 ≠ 0, we apply division lemma to 3932 and 4830, to get
4830 = 3932 x 1 + 898
Step 3: We consider the new divisor 3932 and the new remainder 898, and apply the division lemma to get
3932 = 898 x 4 + 340
We consider the new divisor 898 and the new remainder 340,and apply the division lemma to get
898 = 340 x 2 + 218
We consider the new divisor 340 and the new remainder 218,and apply the division lemma to get
340 = 218 x 1 + 122
We consider the new divisor 218 and the new remainder 122,and apply the division lemma to get
218 = 122 x 1 + 96
We consider the new divisor 122 and the new remainder 96,and apply the division lemma to get
122 = 96 x 1 + 26
We consider the new divisor 96 and the new remainder 26,and apply the division lemma to get
96 = 26 x 3 + 18
We consider the new divisor 26 and the new remainder 18,and apply the division lemma to get
26 = 18 x 1 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8762 and 4830 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(26,18) = HCF(96,26) = HCF(122,96) = HCF(218,122) = HCF(340,218) = HCF(898,340) = HCF(3932,898) = HCF(4830,3932) = HCF(8762,4830) .
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Frequently Asked Questions on HCF of 8762, 4830 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 8762, 4830?
Answer: HCF of 8762, 4830 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8762, 4830 using Euclid's Algorithm?
Answer: For arbitrary numbers 8762, 4830 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.