Highest Common Factor of 717, 22799 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 717, 22799 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 717, 22799 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 717, 22799 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 717, 22799 is 1.
HCF(717, 22799) = 1
HCF of 717, 22799 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 717, 22799 is 1.
Highest Common Factor of 717,22799 is 1
Step 1: Since 22799 > 717, we apply the division lemma to 22799 and 717, to get
22799 = 717 x 31 + 572
Step 2: Since the reminder 717 ≠ 0, we apply division lemma to 572 and 717, to get
717 = 572 x 1 + 145
Step 3: We consider the new divisor 572 and the new remainder 145, and apply the division lemma to get
572 = 145 x 3 + 137
We consider the new divisor 145 and the new remainder 137,and apply the division lemma to get
145 = 137 x 1 + 8
We consider the new divisor 137 and the new remainder 8,and apply the division lemma to get
137 = 8 x 17 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 717 and 22799 is 1
Notice that 1 = HCF(8,1) = HCF(137,8) = HCF(145,137) = HCF(572,145) = HCF(717,572) = HCF(22799,717) .
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Frequently Asked Questions on HCF of 717, 22799 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 717, 22799?
Answer: HCF of 717, 22799 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 717, 22799 using Euclid's Algorithm?
Answer: For arbitrary numbers 717, 22799 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.