Highest Common Factor of 4140, 5545 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 4140, 5545 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 4140, 5545 is 5 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 4140, 5545 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 4140, 5545 is 5.
HCF(4140, 5545) = 5
HCF of 4140, 5545 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4140, 5545 is 5.
Highest Common Factor of 4140,5545 is 5
Step 1: Since 5545 > 4140, we apply the division lemma to 5545 and 4140, to get
5545 = 4140 x 1 + 1405
Step 2: Since the reminder 4140 ≠ 0, we apply division lemma to 1405 and 4140, to get
4140 = 1405 x 2 + 1330
Step 3: We consider the new divisor 1405 and the new remainder 1330, and apply the division lemma to get
1405 = 1330 x 1 + 75
We consider the new divisor 1330 and the new remainder 75,and apply the division lemma to get
1330 = 75 x 17 + 55
We consider the new divisor 75 and the new remainder 55,and apply the division lemma to get
75 = 55 x 1 + 20
We consider the new divisor 55 and the new remainder 20,and apply the division lemma to get
55 = 20 x 2 + 15
We consider the new divisor 20 and the new remainder 15,and apply the division lemma to get
20 = 15 x 1 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 4140 and 5545 is 5
Notice that 5 = HCF(15,5) = HCF(20,15) = HCF(55,20) = HCF(75,55) = HCF(1330,75) = HCF(1405,1330) = HCF(4140,1405) = HCF(5545,4140) .
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Frequently Asked Questions on HCF of 4140, 5545 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 4140, 5545?
Answer: HCF of 4140, 5545 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4140, 5545 using Euclid's Algorithm?
Answer: For arbitrary numbers 4140, 5545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
