Highest Common Factor of 1425, 839 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 1425, 839 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1425, 839 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 1425, 839 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 1425, 839 is 1.
HCF(1425, 839) = 1
HCF of 1425, 839 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1425, 839 is 1.
Highest Common Factor of 1425,839 is 1
Step 1: Since 1425 > 839, we apply the division lemma to 1425 and 839, to get
1425 = 839 x 1 + 586
Step 2: Since the reminder 839 ≠ 0, we apply division lemma to 586 and 839, to get
839 = 586 x 1 + 253
Step 3: We consider the new divisor 586 and the new remainder 253, and apply the division lemma to get
586 = 253 x 2 + 80
We consider the new divisor 253 and the new remainder 80,and apply the division lemma to get
253 = 80 x 3 + 13
We consider the new divisor 80 and the new remainder 13,and apply the division lemma to get
80 = 13 x 6 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 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 1425 and 839 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(80,13) = HCF(253,80) = HCF(586,253) = HCF(839,586) = HCF(1425,839) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1425, 839 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 1425, 839?
Answer: HCF of 1425, 839 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1425, 839 using Euclid's Algorithm?
Answer: For arbitrary numbers 1425, 839 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.