Highest Common Factor of 7729, 3084 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 7729, 3084 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7729, 3084 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 7729, 3084 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 7729, 3084 is 1.
HCF(7729, 3084) = 1
HCF of 7729, 3084 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7729, 3084 is 1.
Highest Common Factor of 7729,3084 is 1
Step 1: Since 7729 > 3084, we apply the division lemma to 7729 and 3084, to get
7729 = 3084 x 2 + 1561
Step 2: Since the reminder 3084 ≠ 0, we apply division lemma to 1561 and 3084, to get
3084 = 1561 x 1 + 1523
Step 3: We consider the new divisor 1561 and the new remainder 1523, and apply the division lemma to get
1561 = 1523 x 1 + 38
We consider the new divisor 1523 and the new remainder 38,and apply the division lemma to get
1523 = 38 x 40 + 3
We consider the new divisor 38 and the new remainder 3,and apply the division lemma to get
38 = 3 x 12 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 7729 and 3084 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(38,3) = HCF(1523,38) = HCF(1561,1523) = HCF(3084,1561) = HCF(7729,3084) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7729, 3084 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 7729, 3084?
Answer: HCF of 7729, 3084 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7729, 3084 using Euclid's Algorithm?
Answer: For arbitrary numbers 7729, 3084 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.