Highest Common Factor of 1132, 2139, 47182 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 1132, 2139, 47182 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1132, 2139, 47182 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 1132, 2139, 47182 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 1132, 2139, 47182 is 1.
HCF(1132, 2139, 47182) = 1
HCF of 1132, 2139, 47182 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1132, 2139, 47182 is 1.
Highest Common Factor of 1132,2139,47182 is 1
Step 1: Since 2139 > 1132, we apply the division lemma to 2139 and 1132, to get
2139 = 1132 x 1 + 1007
Step 2: Since the reminder 1132 ≠ 0, we apply division lemma to 1007 and 1132, to get
1132 = 1007 x 1 + 125
Step 3: We consider the new divisor 1007 and the new remainder 125, and apply the division lemma to get
1007 = 125 x 8 + 7
We consider the new divisor 125 and the new remainder 7,and apply the division lemma to get
125 = 7 x 17 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1132 and 2139 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(125,7) = HCF(1007,125) = HCF(1132,1007) = HCF(2139,1132) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 47182 > 1, we apply the division lemma to 47182 and 1, to get
47182 = 1 x 47182 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 47182 is 1
Notice that 1 = HCF(47182,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1132, 2139, 47182 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 1132, 2139, 47182?
Answer: HCF of 1132, 2139, 47182 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1132, 2139, 47182 using Euclid's Algorithm?
Answer: For arbitrary numbers 1132, 2139, 47182 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.