Highest Common Factor of 6737, 4541 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 6737, 4541 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6737, 4541 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 6737, 4541 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 6737, 4541 is 1.
HCF(6737, 4541) = 1
HCF of 6737, 4541 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6737, 4541 is 1.
Highest Common Factor of 6737,4541 is 1
Step 1: Since 6737 > 4541, we apply the division lemma to 6737 and 4541, to get
6737 = 4541 x 1 + 2196
Step 2: Since the reminder 4541 ≠ 0, we apply division lemma to 2196 and 4541, to get
4541 = 2196 x 2 + 149
Step 3: We consider the new divisor 2196 and the new remainder 149, and apply the division lemma to get
2196 = 149 x 14 + 110
We consider the new divisor 149 and the new remainder 110,and apply the division lemma to get
149 = 110 x 1 + 39
We consider the new divisor 110 and the new remainder 39,and apply the division lemma to get
110 = 39 x 2 + 32
We consider the new divisor 39 and the new remainder 32,and apply the division lemma to get
39 = 32 x 1 + 7
We consider the new divisor 32 and the new remainder 7,and apply the division lemma to get
32 = 7 x 4 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 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 6737 and 4541 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(32,7) = HCF(39,32) = HCF(110,39) = HCF(149,110) = HCF(2196,149) = HCF(4541,2196) = HCF(6737,4541) .
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Frequently Asked Questions on HCF of 6737, 4541 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 6737, 4541?
Answer: HCF of 6737, 4541 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6737, 4541 using Euclid's Algorithm?
Answer: For arbitrary numbers 6737, 4541 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.