Highest Common Factor of 427, 739 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 427, 739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 427, 739 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 427, 739 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 427, 739 is 1.
HCF(427, 739) = 1
HCF of 427, 739 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 427, 739 is 1.
Highest Common Factor of 427,739 is 1
Step 1: Since 739 > 427, we apply the division lemma to 739 and 427, to get
739 = 427 x 1 + 312
Step 2: Since the reminder 427 ≠ 0, we apply division lemma to 312 and 427, to get
427 = 312 x 1 + 115
Step 3: We consider the new divisor 312 and the new remainder 115, and apply the division lemma to get
312 = 115 x 2 + 82
We consider the new divisor 115 and the new remainder 82,and apply the division lemma to get
115 = 82 x 1 + 33
We consider the new divisor 82 and the new remainder 33,and apply the division lemma to get
82 = 33 x 2 + 16
We consider the new divisor 33 and the new remainder 16,and apply the division lemma to get
33 = 16 x 2 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 427 and 739 is 1
Notice that 1 = HCF(16,1) = HCF(33,16) = HCF(82,33) = HCF(115,82) = HCF(312,115) = HCF(427,312) = HCF(739,427) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 427, 739 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 427, 739?
Answer: HCF of 427, 739 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 427, 739 using Euclid's Algorithm?
Answer: For arbitrary numbers 427, 739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.