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, 572 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 791, 572 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, 572 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, 572 is 1.
HCF(791, 572) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 791, 572 is 1.
Step 1: Since 791 > 572, we apply the division lemma to 791 and 572, to get
791 = 572 x 1 + 219
Step 2: Since the reminder 572 ≠ 0, we apply division lemma to 219 and 572, to get
572 = 219 x 2 + 134
Step 3: We consider the new divisor 219 and the new remainder 134, and apply the division lemma to get
219 = 134 x 1 + 85
We consider the new divisor 134 and the new remainder 85,and apply the division lemma to get
134 = 85 x 1 + 49
We consider the new divisor 85 and the new remainder 49,and apply the division lemma to get
85 = 49 x 1 + 36
We consider the new divisor 49 and the new remainder 36,and apply the division lemma to get
49 = 36 x 1 + 13
We consider the new divisor 36 and the new remainder 13,and apply the division lemma to get
36 = 13 x 2 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 791 and 572 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(36,13) = HCF(49,36) = HCF(85,49) = HCF(134,85) = HCF(219,134) = HCF(572,219) = HCF(791,572) .
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, 572?
Answer: HCF of 791, 572 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 791, 572 using Euclid's Algorithm?
Answer: For arbitrary numbers 791, 572 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.