Highest Common Factor of 182, 837, 646, 45 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 182, 837, 646, 45 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 182, 837, 646, 45 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 182, 837, 646, 45 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 182, 837, 646, 45 is 1.
HCF(182, 837, 646, 45) = 1
HCF of 182, 837, 646, 45 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 182, 837, 646, 45 is 1.
Highest Common Factor of 182,837,646,45 is 1
Step 1: Since 837 > 182, we apply the division lemma to 837 and 182, to get
837 = 182 x 4 + 109
Step 2: Since the reminder 182 ≠ 0, we apply division lemma to 109 and 182, to get
182 = 109 x 1 + 73
Step 3: We consider the new divisor 109 and the new remainder 73, and apply the division lemma to get
109 = 73 x 1 + 36
We consider the new divisor 73 and the new remainder 36,and apply the division lemma to get
73 = 36 x 2 + 1
We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 182 and 837 is 1
Notice that 1 = HCF(36,1) = HCF(73,36) = HCF(109,73) = HCF(182,109) = HCF(837,182) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 646 > 1, we apply the division lemma to 646 and 1, to get
646 = 1 x 646 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 646 is 1
Notice that 1 = HCF(646,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 45 > 1, we apply the division lemma to 45 and 1, to get
45 = 1 x 45 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 45 is 1
Notice that 1 = HCF(45,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 182, 837, 646, 45 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 182, 837, 646, 45?
Answer: HCF of 182, 837, 646, 45 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 182, 837, 646, 45 using Euclid's Algorithm?
Answer: For arbitrary numbers 182, 837, 646, 45 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
