Highest Common Factor of 858, 707, 713 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 858, 707, 713 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 858, 707, 713 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 858, 707, 713 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 858, 707, 713 is 1.
HCF(858, 707, 713) = 1
HCF of 858, 707, 713 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 858, 707, 713 is 1.
Highest Common Factor of 858,707,713 is 1
Step 1: Since 858 > 707, we apply the division lemma to 858 and 707, to get
858 = 707 x 1 + 151
Step 2: Since the reminder 707 ≠ 0, we apply division lemma to 151 and 707, to get
707 = 151 x 4 + 103
Step 3: We consider the new divisor 151 and the new remainder 103, and apply the division lemma to get
151 = 103 x 1 + 48
We consider the new divisor 103 and the new remainder 48,and apply the division lemma to get
103 = 48 x 2 + 7
We consider the new divisor 48 and the new remainder 7,and apply the division lemma to get
48 = 7 x 6 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 858 and 707 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(48,7) = HCF(103,48) = HCF(151,103) = HCF(707,151) = HCF(858,707) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 713 > 1, we apply the division lemma to 713 and 1, to get
713 = 1 x 713 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 713 is 1
Notice that 1 = HCF(713,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 858, 707, 713 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 858, 707, 713?
Answer: HCF of 858, 707, 713 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 858, 707, 713 using Euclid's Algorithm?
Answer: For arbitrary numbers 858, 707, 713 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.