Highest Common Factor of 1577, 3666 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 1577, 3666 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1577, 3666 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 1577, 3666 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 1577, 3666 is 1.
HCF(1577, 3666) = 1
HCF of 1577, 3666 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1577, 3666 is 1.
Highest Common Factor of 1577,3666 is 1
Step 1: Since 3666 > 1577, we apply the division lemma to 3666 and 1577, to get
3666 = 1577 x 2 + 512
Step 2: Since the reminder 1577 ≠ 0, we apply division lemma to 512 and 1577, to get
1577 = 512 x 3 + 41
Step 3: We consider the new divisor 512 and the new remainder 41, and apply the division lemma to get
512 = 41 x 12 + 20
We consider the new divisor 41 and the new remainder 20,and apply the division lemma to get
41 = 20 x 2 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1577 and 3666 is 1
Notice that 1 = HCF(20,1) = HCF(41,20) = HCF(512,41) = HCF(1577,512) = HCF(3666,1577) .
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Frequently Asked Questions on HCF of 1577, 3666 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 1577, 3666?
Answer: HCF of 1577, 3666 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1577, 3666 using Euclid's Algorithm?
Answer: For arbitrary numbers 1577, 3666 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.