Highest Common Factor of 707, 296, 687 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 707, 296, 687 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 707, 296, 687 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 707, 296, 687 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 707, 296, 687 is 1.
HCF(707, 296, 687) = 1
HCF of 707, 296, 687 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 707, 296, 687 is 1.
Highest Common Factor of 707,296,687 is 1
Step 1: Since 707 > 296, we apply the division lemma to 707 and 296, to get
707 = 296 x 2 + 115
Step 2: Since the reminder 296 ≠ 0, we apply division lemma to 115 and 296, to get
296 = 115 x 2 + 66
Step 3: We consider the new divisor 115 and the new remainder 66, and apply the division lemma to get
115 = 66 x 1 + 49
We consider the new divisor 66 and the new remainder 49,and apply the division lemma to get
66 = 49 x 1 + 17
We consider the new divisor 49 and the new remainder 17,and apply the division lemma to get
49 = 17 x 2 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 707 and 296 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(49,17) = HCF(66,49) = HCF(115,66) = HCF(296,115) = HCF(707,296) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 687 > 1, we apply the division lemma to 687 and 1, to get
687 = 1 x 687 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 687 is 1
Notice that 1 = HCF(687,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 707, 296, 687 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 707, 296, 687?
Answer: HCF of 707, 296, 687 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 707, 296, 687 using Euclid's Algorithm?
Answer: For arbitrary numbers 707, 296, 687 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
