Highest Common Factor of 775, 993, 517 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 775, 993, 517 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 775, 993, 517 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 775, 993, 517 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 775, 993, 517 is 1.
HCF(775, 993, 517) = 1
HCF of 775, 993, 517 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 775, 993, 517 is 1.
Highest Common Factor of 775,993,517 is 1
Step 1: Since 993 > 775, we apply the division lemma to 993 and 775, to get
993 = 775 x 1 + 218
Step 2: Since the reminder 775 ≠ 0, we apply division lemma to 218 and 775, to get
775 = 218 x 3 + 121
Step 3: We consider the new divisor 218 and the new remainder 121, and apply the division lemma to get
218 = 121 x 1 + 97
We consider the new divisor 121 and the new remainder 97,and apply the division lemma to get
121 = 97 x 1 + 24
We consider the new divisor 97 and the new remainder 24,and apply the division lemma to get
97 = 24 x 4 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 775 and 993 is 1
Notice that 1 = HCF(24,1) = HCF(97,24) = HCF(121,97) = HCF(218,121) = HCF(775,218) = HCF(993,775) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 517 > 1, we apply the division lemma to 517 and 1, to get
517 = 1 x 517 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 517 is 1
Notice that 1 = HCF(517,1) .
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Frequently Asked Questions on HCF of 775, 993, 517 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 775, 993, 517?
Answer: HCF of 775, 993, 517 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 775, 993, 517 using Euclid's Algorithm?
Answer: For arbitrary numbers 775, 993, 517 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.