Highest Common Factor of 707, 165, 113, 30 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, 165, 113, 30 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 707, 165, 113, 30 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, 165, 113, 30 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, 165, 113, 30 is 1.
HCF(707, 165, 113, 30) = 1
HCF of 707, 165, 113, 30 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, 165, 113, 30 is 1.
Highest Common Factor of 707,165,113,30 is 1
Step 1: Since 707 > 165, we apply the division lemma to 707 and 165, to get
707 = 165 x 4 + 47
Step 2: Since the reminder 165 ≠ 0, we apply division lemma to 47 and 165, to get
165 = 47 x 3 + 24
Step 3: We consider the new divisor 47 and the new remainder 24, and apply the division lemma to get
47 = 24 x 1 + 23
We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get
24 = 23 x 1 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 707 and 165 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(47,24) = HCF(165,47) = HCF(707,165) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 113 > 1, we apply the division lemma to 113 and 1, to get
113 = 1 x 113 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 113 is 1
Notice that 1 = HCF(113,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 30 > 1, we apply the division lemma to 30 and 1, to get
30 = 1 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 30 is 1
Notice that 1 = HCF(30,1) .
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, 165, 113, 30 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, 165, 113, 30?
Answer: HCF of 707, 165, 113, 30 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 707, 165, 113, 30 using Euclid's Algorithm?
Answer: For arbitrary numbers 707, 165, 113, 30 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.