Highest Common Factor of 4177, 1107 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 4177, 1107 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4177, 1107 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 4177, 1107 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 4177, 1107 is 1.
HCF(4177, 1107) = 1
HCF of 4177, 1107 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4177, 1107 is 1.
Highest Common Factor of 4177,1107 is 1
Step 1: Since 4177 > 1107, we apply the division lemma to 4177 and 1107, to get
4177 = 1107 x 3 + 856
Step 2: Since the reminder 1107 ≠ 0, we apply division lemma to 856 and 1107, to get
1107 = 856 x 1 + 251
Step 3: We consider the new divisor 856 and the new remainder 251, and apply the division lemma to get
856 = 251 x 3 + 103
We consider the new divisor 251 and the new remainder 103,and apply the division lemma to get
251 = 103 x 2 + 45
We consider the new divisor 103 and the new remainder 45,and apply the division lemma to get
103 = 45 x 2 + 13
We consider the new divisor 45 and the new remainder 13,and apply the division lemma to get
45 = 13 x 3 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 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 4177 and 1107 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(45,13) = HCF(103,45) = HCF(251,103) = HCF(856,251) = HCF(1107,856) = HCF(4177,1107) .
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Frequently Asked Questions on HCF of 4177, 1107 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 4177, 1107?
Answer: HCF of 4177, 1107 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4177, 1107 using Euclid's Algorithm?
Answer: For arbitrary numbers 4177, 1107 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
