Highest Common Factor of 5511, 3747 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 5511, 3747 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5511, 3747 is 3 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 5511, 3747 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 5511, 3747 is 3.
HCF(5511, 3747) = 3
HCF of 5511, 3747 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5511, 3747 is 3.
Highest Common Factor of 5511,3747 is 3
Step 1: Since 5511 > 3747, we apply the division lemma to 5511 and 3747, to get
5511 = 3747 x 1 + 1764
Step 2: Since the reminder 3747 ≠ 0, we apply division lemma to 1764 and 3747, to get
3747 = 1764 x 2 + 219
Step 3: We consider the new divisor 1764 and the new remainder 219, and apply the division lemma to get
1764 = 219 x 8 + 12
We consider the new divisor 219 and the new remainder 12,and apply the division lemma to get
219 = 12 x 18 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5511 and 3747 is 3
Notice that 3 = HCF(12,3) = HCF(219,12) = HCF(1764,219) = HCF(3747,1764) = HCF(5511,3747) .
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Frequently Asked Questions on HCF of 5511, 3747 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 5511, 3747?
Answer: HCF of 5511, 3747 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5511, 3747 using Euclid's Algorithm?
Answer: For arbitrary numbers 5511, 3747 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.