Highest Common Factor of 4821, 8634 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 4821, 8634 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4821, 8634 is 3 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 4821, 8634 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 4821, 8634 is 3.
HCF(4821, 8634) = 3
HCF of 4821, 8634 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4821, 8634 is 3.
Highest Common Factor of 4821,8634 is 3
Step 1: Since 8634 > 4821, we apply the division lemma to 8634 and 4821, to get
8634 = 4821 x 1 + 3813
Step 2: Since the reminder 4821 ≠ 0, we apply division lemma to 3813 and 4821, to get
4821 = 3813 x 1 + 1008
Step 3: We consider the new divisor 3813 and the new remainder 1008, and apply the division lemma to get
3813 = 1008 x 3 + 789
We consider the new divisor 1008 and the new remainder 789,and apply the division lemma to get
1008 = 789 x 1 + 219
We consider the new divisor 789 and the new remainder 219,and apply the division lemma to get
789 = 219 x 3 + 132
We consider the new divisor 219 and the new remainder 132,and apply the division lemma to get
219 = 132 x 1 + 87
We consider the new divisor 132 and the new remainder 87,and apply the division lemma to get
132 = 87 x 1 + 45
We consider the new divisor 87 and the new remainder 45,and apply the division lemma to get
87 = 45 x 1 + 42
We consider the new divisor 45 and the new remainder 42,and apply the division lemma to get
45 = 42 x 1 + 3
We consider the new divisor 42 and the new remainder 3,and apply the division lemma to get
42 = 3 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4821 and 8634 is 3
Notice that 3 = HCF(42,3) = HCF(45,42) = HCF(87,45) = HCF(132,87) = HCF(219,132) = HCF(789,219) = HCF(1008,789) = HCF(3813,1008) = HCF(4821,3813) = HCF(8634,4821) .
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Frequently Asked Questions on HCF of 4821, 8634 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 4821, 8634?
Answer: HCF of 4821, 8634 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4821, 8634 using Euclid's Algorithm?
Answer: For arbitrary numbers 4821, 8634 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.