Highest Common Factor of 681, 96004 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 681, 96004 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 681, 96004 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 681, 96004 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 681, 96004 is 1.
HCF(681, 96004) = 1
HCF of 681, 96004 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 681, 96004 is 1.
Highest Common Factor of 681,96004 is 1
Step 1: Since 96004 > 681, we apply the division lemma to 96004 and 681, to get
96004 = 681 x 140 + 664
Step 2: Since the reminder 681 ≠ 0, we apply division lemma to 664 and 681, to get
681 = 664 x 1 + 17
Step 3: We consider the new divisor 664 and the new remainder 17, and apply the division lemma to get
664 = 17 x 39 + 1
We consider the new divisor 17 and the new remainder 1, and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 681 and 96004 is 1
Notice that 1 = HCF(17,1) = HCF(664,17) = HCF(681,664) = HCF(96004,681) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 681, 96004 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 681, 96004?
Answer: HCF of 681, 96004 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 681, 96004 using Euclid's Algorithm?
Answer: For arbitrary numbers 681, 96004 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.