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 791, 568, 917 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 791, 568, 917 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 791, 568, 917 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 791, 568, 917 is 1.
HCF(791, 568, 917) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 791, 568, 917 is 1.
Step 1: Since 791 > 568, we apply the division lemma to 791 and 568, to get
791 = 568 x 1 + 223
Step 2: Since the reminder 568 ≠ 0, we apply division lemma to 223 and 568, to get
568 = 223 x 2 + 122
Step 3: We consider the new divisor 223 and the new remainder 122, and apply the division lemma to get
223 = 122 x 1 + 101
We consider the new divisor 122 and the new remainder 101,and apply the division lemma to get
122 = 101 x 1 + 21
We consider the new divisor 101 and the new remainder 21,and apply the division lemma to get
101 = 21 x 4 + 17
We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get
21 = 17 x 1 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 791 and 568 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(101,21) = HCF(122,101) = HCF(223,122) = HCF(568,223) = HCF(791,568) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 917 > 1, we apply the division lemma to 917 and 1, to get
917 = 1 x 917 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 917 is 1
Notice that 1 = HCF(917,1) .
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 791, 568, 917?
Answer: HCF of 791, 568, 917 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 791, 568, 917 using Euclid's Algorithm?
Answer: For arbitrary numbers 791, 568, 917 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.