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, 401, 920, 187 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 167, 401, 920, 187 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, 401, 920, 187 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, 401, 920, 187 is 1.
HCF(167, 401, 920, 187) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 167, 401, 920, 187 is 1.
Step 1: Since 401 > 167, we apply the division lemma to 401 and 167, to get
401 = 167 x 2 + 67
Step 2: Since the reminder 167 ≠ 0, we apply division lemma to 67 and 167, to get
167 = 67 x 2 + 33
Step 3: We consider the new divisor 67 and the new remainder 33, and apply the division lemma to get
67 = 33 x 2 + 1
We consider the new divisor 33 and the new remainder 1, and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 167 and 401 is 1
Notice that 1 = HCF(33,1) = HCF(67,33) = HCF(167,67) = HCF(401,167) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 920 > 1, we apply the division lemma to 920 and 1, to get
920 = 1 x 920 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 920 is 1
Notice that 1 = HCF(920,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 187 > 1, we apply the division lemma to 187 and 1, to get
187 = 1 x 187 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 187 is 1
Notice that 1 = HCF(187,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 401, 920, 187?
Answer: HCF of 167, 401, 920, 187 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 167, 401, 920, 187 using Euclid's Algorithm?
Answer: For arbitrary numbers 167, 401, 920, 187 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.