Highest Common Factor of 4810, 922 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 4810, 922 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4810, 922 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 4810, 922 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 4810, 922 is 2.
HCF(4810, 922) = 2
HCF of 4810, 922 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4810, 922 is 2.
Highest Common Factor of 4810,922 is 2
Step 1: Since 4810 > 922, we apply the division lemma to 4810 and 922, to get
4810 = 922 x 5 + 200
Step 2: Since the reminder 922 ≠ 0, we apply division lemma to 200 and 922, to get
922 = 200 x 4 + 122
Step 3: We consider the new divisor 200 and the new remainder 122, and apply the division lemma to get
200 = 122 x 1 + 78
We consider the new divisor 122 and the new remainder 78,and apply the division lemma to get
122 = 78 x 1 + 44
We consider the new divisor 78 and the new remainder 44,and apply the division lemma to get
78 = 44 x 1 + 34
We consider the new divisor 44 and the new remainder 34,and apply the division lemma to get
44 = 34 x 1 + 10
We consider the new divisor 34 and the new remainder 10,and apply the division lemma to get
34 = 10 x 3 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
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 4810 and 922 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(34,10) = HCF(44,34) = HCF(78,44) = HCF(122,78) = HCF(200,122) = HCF(922,200) = HCF(4810,922) .
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Frequently Asked Questions on HCF of 4810, 922 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 4810, 922?
Answer: HCF of 4810, 922 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4810, 922 using Euclid's Algorithm?
Answer: For arbitrary numbers 4810, 922 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.