Highest Common Factor of 1549, 7689 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 1549, 7689 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1549, 7689 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 1549, 7689 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 1549, 7689 is 1.
HCF(1549, 7689) = 1
HCF of 1549, 7689 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1549, 7689 is 1.
Highest Common Factor of 1549,7689 is 1
Step 1: Since 7689 > 1549, we apply the division lemma to 7689 and 1549, to get
7689 = 1549 x 4 + 1493
Step 2: Since the reminder 1549 ≠ 0, we apply division lemma to 1493 and 1549, to get
1549 = 1493 x 1 + 56
Step 3: We consider the new divisor 1493 and the new remainder 56, and apply the division lemma to get
1493 = 56 x 26 + 37
We consider the new divisor 56 and the new remainder 37,and apply the division lemma to get
56 = 37 x 1 + 19
We consider the new divisor 37 and the new remainder 19,and apply the division lemma to get
37 = 19 x 1 + 18
We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get
19 = 18 x 1 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1549 and 7689 is 1
Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(37,19) = HCF(56,37) = HCF(1493,56) = HCF(1549,1493) = HCF(7689,1549) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1549, 7689 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 1549, 7689?
Answer: HCF of 1549, 7689 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1549, 7689 using Euclid's Algorithm?
Answer: For arbitrary numbers 1549, 7689 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
