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 166, 111, 425 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 166, 111, 425 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 166, 111, 425 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 166, 111, 425 is 1.
HCF(166, 111, 425) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 166, 111, 425 is 1.
Step 1: Since 166 > 111, we apply the division lemma to 166 and 111, to get
166 = 111 x 1 + 55
Step 2: Since the reminder 111 ≠ 0, we apply division lemma to 55 and 111, to get
111 = 55 x 2 + 1
Step 3: We consider the new divisor 55 and the new remainder 1, and apply the division lemma to get
55 = 1 x 55 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 166 and 111 is 1
Notice that 1 = HCF(55,1) = HCF(111,55) = HCF(166,111) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 425 > 1, we apply the division lemma to 425 and 1, to get
425 = 1 x 425 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 425 is 1
Notice that 1 = HCF(425,1) .
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 166, 111, 425?
Answer: HCF of 166, 111, 425 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 166, 111, 425 using Euclid's Algorithm?
Answer: For arbitrary numbers 166, 111, 425 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.