Highest Common Factor of 4157, 7383 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 4157, 7383 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4157, 7383 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 4157, 7383 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 4157, 7383 is 1.
HCF(4157, 7383) = 1
HCF of 4157, 7383 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4157, 7383 is 1.
Highest Common Factor of 4157,7383 is 1
Step 1: Since 7383 > 4157, we apply the division lemma to 7383 and 4157, to get
7383 = 4157 x 1 + 3226
Step 2: Since the reminder 4157 ≠ 0, we apply division lemma to 3226 and 4157, to get
4157 = 3226 x 1 + 931
Step 3: We consider the new divisor 3226 and the new remainder 931, and apply the division lemma to get
3226 = 931 x 3 + 433
We consider the new divisor 931 and the new remainder 433,and apply the division lemma to get
931 = 433 x 2 + 65
We consider the new divisor 433 and the new remainder 65,and apply the division lemma to get
433 = 65 x 6 + 43
We consider the new divisor 65 and the new remainder 43,and apply the division lemma to get
65 = 43 x 1 + 22
We consider the new divisor 43 and the new remainder 22,and apply the division lemma to get
43 = 22 x 1 + 21
We consider the new divisor 22 and the new remainder 21,and apply the division lemma to get
22 = 21 x 1 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4157 and 7383 is 1
Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(43,22) = HCF(65,43) = HCF(433,65) = HCF(931,433) = HCF(3226,931) = HCF(4157,3226) = HCF(7383,4157) .
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Frequently Asked Questions on HCF of 4157, 7383 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 4157, 7383?
Answer: HCF of 4157, 7383 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4157, 7383 using Euclid's Algorithm?
Answer: For arbitrary numbers 4157, 7383 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.