Highest Common Factor of 3727, 8948 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 3727, 8948 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3727, 8948 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 3727, 8948 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 3727, 8948 is 1.
HCF(3727, 8948) = 1
HCF of 3727, 8948 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3727, 8948 is 1.
Highest Common Factor of 3727,8948 is 1
Step 1: Since 8948 > 3727, we apply the division lemma to 8948 and 3727, to get
8948 = 3727 x 2 + 1494
Step 2: Since the reminder 3727 ≠ 0, we apply division lemma to 1494 and 3727, to get
3727 = 1494 x 2 + 739
Step 3: We consider the new divisor 1494 and the new remainder 739, and apply the division lemma to get
1494 = 739 x 2 + 16
We consider the new divisor 739 and the new remainder 16,and apply the division lemma to get
739 = 16 x 46 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 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 3727 and 8948 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(739,16) = HCF(1494,739) = HCF(3727,1494) = HCF(8948,3727) .
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Frequently Asked Questions on HCF of 3727, 8948 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 3727, 8948?
Answer: HCF of 3727, 8948 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3727, 8948 using Euclid's Algorithm?
Answer: For arbitrary numbers 3727, 8948 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.