Highest Common Factor of 517, 131, 971, 179 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 517, 131, 971, 179 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 517, 131, 971, 179 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 517, 131, 971, 179 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 517, 131, 971, 179 is 1.
HCF(517, 131, 971, 179) = 1
HCF of 517, 131, 971, 179 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 517, 131, 971, 179 is 1.
Highest Common Factor of 517,131,971,179 is 1
Step 1: Since 517 > 131, we apply the division lemma to 517 and 131, to get
517 = 131 x 3 + 124
Step 2: Since the reminder 131 ≠ 0, we apply division lemma to 124 and 131, to get
131 = 124 x 1 + 7
Step 3: We consider the new divisor 124 and the new remainder 7, and apply the division lemma to get
124 = 7 x 17 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 517 and 131 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(124,7) = HCF(131,124) = HCF(517,131) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 971 > 1, we apply the division lemma to 971 and 1, to get
971 = 1 x 971 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 971 is 1
Notice that 1 = HCF(971,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 179 > 1, we apply the division lemma to 179 and 1, to get
179 = 1 x 179 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 179 is 1
Notice that 1 = HCF(179,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 517, 131, 971, 179 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 517, 131, 971, 179?
Answer: HCF of 517, 131, 971, 179 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 517, 131, 971, 179 using Euclid's Algorithm?
Answer: For arbitrary numbers 517, 131, 971, 179 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.