Highest Common Factor of 917, 2076, 5330 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 917, 2076, 5330 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 917, 2076, 5330 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 917, 2076, 5330 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 917, 2076, 5330 is 1.
HCF(917, 2076, 5330) = 1
HCF of 917, 2076, 5330 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 917, 2076, 5330 is 1.
Highest Common Factor of 917,2076,5330 is 1
Step 1: Since 2076 > 917, we apply the division lemma to 2076 and 917, to get
2076 = 917 x 2 + 242
Step 2: Since the reminder 917 ≠ 0, we apply division lemma to 242 and 917, to get
917 = 242 x 3 + 191
Step 3: We consider the new divisor 242 and the new remainder 191, and apply the division lemma to get
242 = 191 x 1 + 51
We consider the new divisor 191 and the new remainder 51,and apply the division lemma to get
191 = 51 x 3 + 38
We consider the new divisor 51 and the new remainder 38,and apply the division lemma to get
51 = 38 x 1 + 13
We consider the new divisor 38 and the new remainder 13,and apply the division lemma to get
38 = 13 x 2 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 917 and 2076 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(38,13) = HCF(51,38) = HCF(191,51) = HCF(242,191) = HCF(917,242) = HCF(2076,917) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5330 > 1, we apply the division lemma to 5330 and 1, to get
5330 = 1 x 5330 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5330 is 1
Notice that 1 = HCF(5330,1) .
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Frequently Asked Questions on HCF of 917, 2076, 5330 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 917, 2076, 5330?
Answer: HCF of 917, 2076, 5330 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 917, 2076, 5330 using Euclid's Algorithm?
Answer: For arbitrary numbers 917, 2076, 5330 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.