Highest Common Factor of 613, 791, 870 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 613, 791, 870 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 613, 791, 870 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 613, 791, 870 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 613, 791, 870 is 1.
HCF(613, 791, 870) = 1
HCF of 613, 791, 870 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 613, 791, 870 is 1.
Highest Common Factor of 613,791,870 is 1
Step 1: Since 791 > 613, we apply the division lemma to 791 and 613, to get
791 = 613 x 1 + 178
Step 2: Since the reminder 613 ≠ 0, we apply division lemma to 178 and 613, to get
613 = 178 x 3 + 79
Step 3: We consider the new divisor 178 and the new remainder 79, and apply the division lemma to get
178 = 79 x 2 + 20
We consider the new divisor 79 and the new remainder 20,and apply the division lemma to get
79 = 20 x 3 + 19
We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get
20 = 19 x 1 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 613 and 791 is 1
Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(79,20) = HCF(178,79) = HCF(613,178) = HCF(791,613) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 870 > 1, we apply the division lemma to 870 and 1, to get
870 = 1 x 870 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 870 is 1
Notice that 1 = HCF(870,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 613, 791, 870 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 613, 791, 870?
Answer: HCF of 613, 791, 870 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 613, 791, 870 using Euclid's Algorithm?
Answer: For arbitrary numbers 613, 791, 870 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.