Highest Common Factor of 7044, 5786 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 7044, 5786 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7044, 5786 is 2 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 7044, 5786 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 7044, 5786 is 2.
HCF(7044, 5786) = 2
HCF of 7044, 5786 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7044, 5786 is 2.
Highest Common Factor of 7044,5786 is 2
Step 1: Since 7044 > 5786, we apply the division lemma to 7044 and 5786, to get
7044 = 5786 x 1 + 1258
Step 2: Since the reminder 5786 ≠ 0, we apply division lemma to 1258 and 5786, to get
5786 = 1258 x 4 + 754
Step 3: We consider the new divisor 1258 and the new remainder 754, and apply the division lemma to get
1258 = 754 x 1 + 504
We consider the new divisor 754 and the new remainder 504,and apply the division lemma to get
754 = 504 x 1 + 250
We consider the new divisor 504 and the new remainder 250,and apply the division lemma to get
504 = 250 x 2 + 4
We consider the new divisor 250 and the new remainder 4,and apply the division lemma to get
250 = 4 x 62 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7044 and 5786 is 2
Notice that 2 = HCF(4,2) = HCF(250,4) = HCF(504,250) = HCF(754,504) = HCF(1258,754) = HCF(5786,1258) = HCF(7044,5786) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7044, 5786 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 7044, 5786?
Answer: HCF of 7044, 5786 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7044, 5786 using Euclid's Algorithm?
Answer: For arbitrary numbers 7044, 5786 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.