Highest Common Factor of 167, 428, 172, 362 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 167, 428, 172, 362 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 167, 428, 172, 362 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 167, 428, 172, 362 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 167, 428, 172, 362 is 1.
HCF(167, 428, 172, 362) = 1
HCF of 167, 428, 172, 362 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 167, 428, 172, 362 is 1.
Highest Common Factor of 167,428,172,362 is 1
Step 1: Since 428 > 167, we apply the division lemma to 428 and 167, to get
428 = 167 x 2 + 94
Step 2: Since the reminder 167 ≠ 0, we apply division lemma to 94 and 167, to get
167 = 94 x 1 + 73
Step 3: We consider the new divisor 94 and the new remainder 73, and apply the division lemma to get
94 = 73 x 1 + 21
We consider the new divisor 73 and the new remainder 21,and apply the division lemma to get
73 = 21 x 3 + 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 167 and 428 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(73,21) = HCF(94,73) = HCF(167,94) = HCF(428,167) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 172 > 1, we apply the division lemma to 172 and 1, to get
172 = 1 x 172 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 172 is 1
Notice that 1 = HCF(172,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 362 > 1, we apply the division lemma to 362 and 1, to get
362 = 1 x 362 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 362 is 1
Notice that 1 = HCF(362,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 167, 428, 172, 362 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 167, 428, 172, 362?
Answer: HCF of 167, 428, 172, 362 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 167, 428, 172, 362 using Euclid's Algorithm?
Answer: For arbitrary numbers 167, 428, 172, 362 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.