Highest Common Factor of 4908, 9430 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 4908, 9430 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4908, 9430 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 4908, 9430 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 4908, 9430 is 2.
HCF(4908, 9430) = 2
HCF of 4908, 9430 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4908, 9430 is 2.
Highest Common Factor of 4908,9430 is 2
Step 1: Since 9430 > 4908, we apply the division lemma to 9430 and 4908, to get
9430 = 4908 x 1 + 4522
Step 2: Since the reminder 4908 ≠ 0, we apply division lemma to 4522 and 4908, to get
4908 = 4522 x 1 + 386
Step 3: We consider the new divisor 4522 and the new remainder 386, and apply the division lemma to get
4522 = 386 x 11 + 276
We consider the new divisor 386 and the new remainder 276,and apply the division lemma to get
386 = 276 x 1 + 110
We consider the new divisor 276 and the new remainder 110,and apply the division lemma to get
276 = 110 x 2 + 56
We consider the new divisor 110 and the new remainder 56,and apply the division lemma to get
110 = 56 x 1 + 54
We consider the new divisor 56 and the new remainder 54,and apply the division lemma to get
56 = 54 x 1 + 2
We consider the new divisor 54 and the new remainder 2,and apply the division lemma to get
54 = 2 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4908 and 9430 is 2
Notice that 2 = HCF(54,2) = HCF(56,54) = HCF(110,56) = HCF(276,110) = HCF(386,276) = HCF(4522,386) = HCF(4908,4522) = HCF(9430,4908) .
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Frequently Asked Questions on HCF of 4908, 9430 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 4908, 9430?
Answer: HCF of 4908, 9430 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4908, 9430 using Euclid's Algorithm?
Answer: For arbitrary numbers 4908, 9430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.