Highest Common Factor of 721, 995 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 721, 995 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 721, 995 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 721, 995 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 721, 995 is 1.
HCF(721, 995) = 1
HCF of 721, 995 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 721, 995 is 1.
Highest Common Factor of 721,995 is 1
Step 1: Since 995 > 721, we apply the division lemma to 995 and 721, to get
995 = 721 x 1 + 274
Step 2: Since the reminder 721 ≠ 0, we apply division lemma to 274 and 721, to get
721 = 274 x 2 + 173
Step 3: We consider the new divisor 274 and the new remainder 173, and apply the division lemma to get
274 = 173 x 1 + 101
We consider the new divisor 173 and the new remainder 101,and apply the division lemma to get
173 = 101 x 1 + 72
We consider the new divisor 101 and the new remainder 72,and apply the division lemma to get
101 = 72 x 1 + 29
We consider the new divisor 72 and the new remainder 29,and apply the division lemma to get
72 = 29 x 2 + 14
We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get
29 = 14 x 2 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 721 and 995 is 1
Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(72,29) = HCF(101,72) = HCF(173,101) = HCF(274,173) = HCF(721,274) = HCF(995,721) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 721, 995 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 721, 995?
Answer: HCF of 721, 995 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 721, 995 using Euclid's Algorithm?
Answer: For arbitrary numbers 721, 995 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
