Highest Common Factor of 852, 940, 182 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 852, 940, 182 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 852, 940, 182 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 852, 940, 182 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 852, 940, 182 is 2.
HCF(852, 940, 182) = 2
HCF of 852, 940, 182 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 852, 940, 182 is 2.
Highest Common Factor of 852,940,182 is 2
Step 1: Since 940 > 852, we apply the division lemma to 940 and 852, to get
940 = 852 x 1 + 88
Step 2: Since the reminder 852 ≠ 0, we apply division lemma to 88 and 852, to get
852 = 88 x 9 + 60
Step 3: We consider the new divisor 88 and the new remainder 60, and apply the division lemma to get
88 = 60 x 1 + 28
We consider the new divisor 60 and the new remainder 28,and apply the division lemma to get
60 = 28 x 2 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 852 and 940 is 4
Notice that 4 = HCF(28,4) = HCF(60,28) = HCF(88,60) = HCF(852,88) = HCF(940,852) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 182 > 4, we apply the division lemma to 182 and 4, to get
182 = 4 x 45 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, 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 4 and 182 is 2
Notice that 2 = HCF(4,2) = HCF(182,4) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 852, 940, 182 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 852, 940, 182?
Answer: HCF of 852, 940, 182 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 852, 940, 182 using Euclid's Algorithm?
Answer: For arbitrary numbers 852, 940, 182 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
