Highest Common Factor of 4055, 5590 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 4055, 5590 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 4055, 5590 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 4055, 5590 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 4055, 5590 is 5.
HCF(4055, 5590) = 5
HCF of 4055, 5590 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4055, 5590 is 5.
Highest Common Factor of 4055,5590 is 5
Step 1: Since 5590 > 4055, we apply the division lemma to 5590 and 4055, to get
5590 = 4055 x 1 + 1535
Step 2: Since the reminder 4055 ≠ 0, we apply division lemma to 1535 and 4055, to get
4055 = 1535 x 2 + 985
Step 3: We consider the new divisor 1535 and the new remainder 985, and apply the division lemma to get
1535 = 985 x 1 + 550
We consider the new divisor 985 and the new remainder 550,and apply the division lemma to get
985 = 550 x 1 + 435
We consider the new divisor 550 and the new remainder 435,and apply the division lemma to get
550 = 435 x 1 + 115
We consider the new divisor 435 and the new remainder 115,and apply the division lemma to get
435 = 115 x 3 + 90
We consider the new divisor 115 and the new remainder 90,and apply the division lemma to get
115 = 90 x 1 + 25
We consider the new divisor 90 and the new remainder 25,and apply the division lemma to get
90 = 25 x 3 + 15
We consider the new divisor 25 and the new remainder 15,and apply the division lemma to get
25 = 15 x 1 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 4055 and 5590 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(25,15) = HCF(90,25) = HCF(115,90) = HCF(435,115) = HCF(550,435) = HCF(985,550) = HCF(1535,985) = HCF(4055,1535) = HCF(5590,4055) .
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Frequently Asked Questions on HCF of 4055, 5590 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 4055, 5590?
Answer: HCF of 4055, 5590 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4055, 5590 using Euclid's Algorithm?
Answer: For arbitrary numbers 4055, 5590 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.