Highest Common Factor of 3755, 557 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 3755, 557 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3755, 557 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 3755, 557 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 3755, 557 is 1.
HCF(3755, 557) = 1
HCF of 3755, 557 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3755, 557 is 1.
Highest Common Factor of 3755,557 is 1
Step 1: Since 3755 > 557, we apply the division lemma to 3755 and 557, to get
3755 = 557 x 6 + 413
Step 2: Since the reminder 557 ≠ 0, we apply division lemma to 413 and 557, to get
557 = 413 x 1 + 144
Step 3: We consider the new divisor 413 and the new remainder 144, and apply the division lemma to get
413 = 144 x 2 + 125
We consider the new divisor 144 and the new remainder 125,and apply the division lemma to get
144 = 125 x 1 + 19
We consider the new divisor 125 and the new remainder 19,and apply the division lemma to get
125 = 19 x 6 + 11
We consider the new divisor 19 and the new remainder 11,and apply the division lemma to get
19 = 11 x 1 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3755 and 557 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(19,11) = HCF(125,19) = HCF(144,125) = HCF(413,144) = HCF(557,413) = HCF(3755,557) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3755, 557 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 3755, 557?
Answer: HCF of 3755, 557 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3755, 557 using Euclid's Algorithm?
Answer: For arbitrary numbers 3755, 557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.