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 696, 994, 581 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 696, 994, 581 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 696, 994, 581 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 696, 994, 581 is 1.
HCF(696, 994, 581) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 696, 994, 581 is 1.
Step 1: Since 994 > 696, we apply the division lemma to 994 and 696, to get
994 = 696 x 1 + 298
Step 2: Since the reminder 696 ≠ 0, we apply division lemma to 298 and 696, to get
696 = 298 x 2 + 100
Step 3: We consider the new divisor 298 and the new remainder 100, and apply the division lemma to get
298 = 100 x 2 + 98
We consider the new divisor 100 and the new remainder 98,and apply the division lemma to get
100 = 98 x 1 + 2
We consider the new divisor 98 and the new remainder 2,and apply the division lemma to get
98 = 2 x 49 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 696 and 994 is 2
Notice that 2 = HCF(98,2) = HCF(100,98) = HCF(298,100) = HCF(696,298) = HCF(994,696) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 581 > 2, we apply the division lemma to 581 and 2, to get
581 = 2 x 290 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 581 is 1
Notice that 1 = HCF(2,1) = HCF(581,2) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 696, 994, 581?
Answer: HCF of 696, 994, 581 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 696, 994, 581 using Euclid's Algorithm?
Answer: For arbitrary numbers 696, 994, 581 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.