Highest Common Factor of 5515, 4177 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 5515, 4177 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5515, 4177 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 5515, 4177 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 5515, 4177 is 1.
HCF(5515, 4177) = 1
HCF of 5515, 4177 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5515, 4177 is 1.
Highest Common Factor of 5515,4177 is 1
Step 1: Since 5515 > 4177, we apply the division lemma to 5515 and 4177, to get
5515 = 4177 x 1 + 1338
Step 2: Since the reminder 4177 ≠ 0, we apply division lemma to 1338 and 4177, to get
4177 = 1338 x 3 + 163
Step 3: We consider the new divisor 1338 and the new remainder 163, and apply the division lemma to get
1338 = 163 x 8 + 34
We consider the new divisor 163 and the new remainder 34,and apply the division lemma to get
163 = 34 x 4 + 27
We consider the new divisor 34 and the new remainder 27,and apply the division lemma to get
34 = 27 x 1 + 7
We consider the new divisor 27 and the new remainder 7,and apply the division lemma to get
27 = 7 x 3 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5515 and 4177 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(27,7) = HCF(34,27) = HCF(163,34) = HCF(1338,163) = HCF(4177,1338) = HCF(5515,4177) .
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Frequently Asked Questions on HCF of 5515, 4177 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 5515, 4177?
Answer: HCF of 5515, 4177 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5515, 4177 using Euclid's Algorithm?
Answer: For arbitrary numbers 5515, 4177 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.