Highest Common Factor of 8012, 5757 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 8012, 5757 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8012, 5757 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 8012, 5757 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 8012, 5757 is 1.
HCF(8012, 5757) = 1
HCF of 8012, 5757 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8012, 5757 is 1.
Highest Common Factor of 8012,5757 is 1
Step 1: Since 8012 > 5757, we apply the division lemma to 8012 and 5757, to get
8012 = 5757 x 1 + 2255
Step 2: Since the reminder 5757 ≠ 0, we apply division lemma to 2255 and 5757, to get
5757 = 2255 x 2 + 1247
Step 3: We consider the new divisor 2255 and the new remainder 1247, and apply the division lemma to get
2255 = 1247 x 1 + 1008
We consider the new divisor 1247 and the new remainder 1008,and apply the division lemma to get
1247 = 1008 x 1 + 239
We consider the new divisor 1008 and the new remainder 239,and apply the division lemma to get
1008 = 239 x 4 + 52
We consider the new divisor 239 and the new remainder 52,and apply the division lemma to get
239 = 52 x 4 + 31
We consider the new divisor 52 and the new remainder 31,and apply the division lemma to get
52 = 31 x 1 + 21
We consider the new divisor 31 and the new remainder 21,and apply the division lemma to get
31 = 21 x 1 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8012 and 5757 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(31,21) = HCF(52,31) = HCF(239,52) = HCF(1008,239) = HCF(1247,1008) = HCF(2255,1247) = HCF(5757,2255) = HCF(8012,5757) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8012, 5757 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 8012, 5757?
Answer: HCF of 8012, 5757 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8012, 5757 using Euclid's Algorithm?
Answer: For arbitrary numbers 8012, 5757 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
