Highest Common Factor of 2348, 4080 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 2348, 4080 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 2348, 4080 is 4 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 2348, 4080 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 2348, 4080 is 4.
HCF(2348, 4080) = 4
HCF of 2348, 4080 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2348, 4080 is 4.
Highest Common Factor of 2348,4080 is 4
Step 1: Since 4080 > 2348, we apply the division lemma to 4080 and 2348, to get
4080 = 2348 x 1 + 1732
Step 2: Since the reminder 2348 ≠ 0, we apply division lemma to 1732 and 2348, to get
2348 = 1732 x 1 + 616
Step 3: We consider the new divisor 1732 and the new remainder 616, and apply the division lemma to get
1732 = 616 x 2 + 500
We consider the new divisor 616 and the new remainder 500,and apply the division lemma to get
616 = 500 x 1 + 116
We consider the new divisor 500 and the new remainder 116,and apply the division lemma to get
500 = 116 x 4 + 36
We consider the new divisor 116 and the new remainder 36,and apply the division lemma to get
116 = 36 x 3 + 8
We consider the new divisor 36 and the new remainder 8,and apply the division lemma to get
36 = 8 x 4 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 2348 and 4080 is 4
Notice that 4 = HCF(8,4) = HCF(36,8) = HCF(116,36) = HCF(500,116) = HCF(616,500) = HCF(1732,616) = HCF(2348,1732) = HCF(4080,2348) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2348, 4080 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 2348, 4080?
Answer: HCF of 2348, 4080 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2348, 4080 using Euclid's Algorithm?
Answer: For arbitrary numbers 2348, 4080 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.