Highest Common Factor of 3761, 5575 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 3761, 5575 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3761, 5575 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 3761, 5575 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 3761, 5575 is 1.
HCF(3761, 5575) = 1
HCF of 3761, 5575 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3761, 5575 is 1.
Highest Common Factor of 3761,5575 is 1
Step 1: Since 5575 > 3761, we apply the division lemma to 5575 and 3761, to get
5575 = 3761 x 1 + 1814
Step 2: Since the reminder 3761 ≠ 0, we apply division lemma to 1814 and 3761, to get
3761 = 1814 x 2 + 133
Step 3: We consider the new divisor 1814 and the new remainder 133, and apply the division lemma to get
1814 = 133 x 13 + 85
We consider the new divisor 133 and the new remainder 85,and apply the division lemma to get
133 = 85 x 1 + 48
We consider the new divisor 85 and the new remainder 48,and apply the division lemma to get
85 = 48 x 1 + 37
We consider the new divisor 48 and the new remainder 37,and apply the division lemma to get
48 = 37 x 1 + 11
We consider the new divisor 37 and the new remainder 11,and apply the division lemma to get
37 = 11 x 3 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3761 and 5575 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(37,11) = HCF(48,37) = HCF(85,48) = HCF(133,85) = HCF(1814,133) = HCF(3761,1814) = HCF(5575,3761) .
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Frequently Asked Questions on HCF of 3761, 5575 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 3761, 5575?
Answer: HCF of 3761, 5575 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3761, 5575 using Euclid's Algorithm?
Answer: For arbitrary numbers 3761, 5575 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
