Highest Common Factor of 4918, 9377 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 4918, 9377 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4918, 9377 is 1 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 4918, 9377 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 4918, 9377 is 1.
HCF(4918, 9377) = 1
HCF of 4918, 9377 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4918, 9377 is 1.
Highest Common Factor of 4918,9377 is 1
Step 1: Since 9377 > 4918, we apply the division lemma to 9377 and 4918, to get
9377 = 4918 x 1 + 4459
Step 2: Since the reminder 4918 ≠ 0, we apply division lemma to 4459 and 4918, to get
4918 = 4459 x 1 + 459
Step 3: We consider the new divisor 4459 and the new remainder 459, and apply the division lemma to get
4459 = 459 x 9 + 328
We consider the new divisor 459 and the new remainder 328,and apply the division lemma to get
459 = 328 x 1 + 131
We consider the new divisor 328 and the new remainder 131,and apply the division lemma to get
328 = 131 x 2 + 66
We consider the new divisor 131 and the new remainder 66,and apply the division lemma to get
131 = 66 x 1 + 65
We consider the new divisor 66 and the new remainder 65,and apply the division lemma to get
66 = 65 x 1 + 1
We consider the new divisor 65 and the new remainder 1,and apply the division lemma to get
65 = 1 x 65 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4918 and 9377 is 1
Notice that 1 = HCF(65,1) = HCF(66,65) = HCF(131,66) = HCF(328,131) = HCF(459,328) = HCF(4459,459) = HCF(4918,4459) = HCF(9377,4918) .
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Frequently Asked Questions on HCF of 4918, 9377 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 4918, 9377?
Answer: HCF of 4918, 9377 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4918, 9377 using Euclid's Algorithm?
Answer: For arbitrary numbers 4918, 9377 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.