Highest Common Factor of 1088, 4647, 41737 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 1088, 4647, 41737 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1088, 4647, 41737 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 1088, 4647, 41737 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 1088, 4647, 41737 is 1.
HCF(1088, 4647, 41737) = 1
HCF of 1088, 4647, 41737 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1088, 4647, 41737 is 1.
Highest Common Factor of 1088,4647,41737 is 1
Step 1: Since 4647 > 1088, we apply the division lemma to 4647 and 1088, to get
4647 = 1088 x 4 + 295
Step 2: Since the reminder 1088 ≠ 0, we apply division lemma to 295 and 1088, to get
1088 = 295 x 3 + 203
Step 3: We consider the new divisor 295 and the new remainder 203, and apply the division lemma to get
295 = 203 x 1 + 92
We consider the new divisor 203 and the new remainder 92,and apply the division lemma to get
203 = 92 x 2 + 19
We consider the new divisor 92 and the new remainder 19,and apply the division lemma to get
92 = 19 x 4 + 16
We consider the new divisor 19 and the new remainder 16,and apply the division lemma to get
19 = 16 x 1 + 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 1088 and 4647 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(19,16) = HCF(92,19) = HCF(203,92) = HCF(295,203) = HCF(1088,295) = HCF(4647,1088) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 41737 > 1, we apply the division lemma to 41737 and 1, to get
41737 = 1 x 41737 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 41737 is 1
Notice that 1 = HCF(41737,1) .
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Frequently Asked Questions on HCF of 1088, 4647, 41737 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 1088, 4647, 41737?
Answer: HCF of 1088, 4647, 41737 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1088, 4647, 41737 using Euclid's Algorithm?
Answer: For arbitrary numbers 1088, 4647, 41737 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.