Highest Common Factor of 716, 3517 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 716, 3517 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 716, 3517 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 716, 3517 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 716, 3517 is 1.
HCF(716, 3517) = 1
HCF of 716, 3517 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 716, 3517 is 1.
Highest Common Factor of 716,3517 is 1
Step 1: Since 3517 > 716, we apply the division lemma to 3517 and 716, to get
3517 = 716 x 4 + 653
Step 2: Since the reminder 716 ≠ 0, we apply division lemma to 653 and 716, to get
716 = 653 x 1 + 63
Step 3: We consider the new divisor 653 and the new remainder 63, and apply the division lemma to get
653 = 63 x 10 + 23
We consider the new divisor 63 and the new remainder 23,and apply the division lemma to get
63 = 23 x 2 + 17
We consider the new divisor 23 and the new remainder 17,and apply the division lemma to get
23 = 17 x 1 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 716 and 3517 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(23,17) = HCF(63,23) = HCF(653,63) = HCF(716,653) = HCF(3517,716) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 716, 3517 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 716, 3517?
Answer: HCF of 716, 3517 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 716, 3517 using Euclid's Algorithm?
Answer: For arbitrary numbers 716, 3517 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.