Highest Common Factor of 7348, 1857 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 7348, 1857 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7348, 1857 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 7348, 1857 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 7348, 1857 is 1.
HCF(7348, 1857) = 1
HCF of 7348, 1857 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7348, 1857 is 1.
Highest Common Factor of 7348,1857 is 1
Step 1: Since 7348 > 1857, we apply the division lemma to 7348 and 1857, to get
7348 = 1857 x 3 + 1777
Step 2: Since the reminder 1857 ≠ 0, we apply division lemma to 1777 and 1857, to get
1857 = 1777 x 1 + 80
Step 3: We consider the new divisor 1777 and the new remainder 80, and apply the division lemma to get
1777 = 80 x 22 + 17
We consider the new divisor 80 and the new remainder 17,and apply the division lemma to get
80 = 17 x 4 + 12
We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get
17 = 12 x 1 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7348 and 1857 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(80,17) = HCF(1777,80) = HCF(1857,1777) = HCF(7348,1857) .
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Frequently Asked Questions on HCF of 7348, 1857 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 7348, 1857?
Answer: HCF of 7348, 1857 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7348, 1857 using Euclid's Algorithm?
Answer: For arbitrary numbers 7348, 1857 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.