Highest Common Factor of 172, 3612, 1204 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 172, 3612, 1204 i.e. 172 the largest integer that leaves a remainder zero for all numbers.
HCF of 172, 3612, 1204 is 172 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 172, 3612, 1204 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 172, 3612, 1204 is 172.
HCF(172, 3612, 1204) = 172
HCF of 172, 3612, 1204 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 172, 3612, 1204 is 172.
Highest Common Factor of 172,3612,1204 is 172
Step 1: Since 3612 > 172, we apply the division lemma to 3612 and 172, to get
3612 = 172 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 172, the HCF of 172 and 3612 is 172
Notice that 172 = HCF(3612,172) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1204 > 172, we apply the division lemma to 1204 and 172, to get
1204 = 172 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 172, the HCF of 172 and 1204 is 172
Notice that 172 = HCF(1204,172) .
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Frequently Asked Questions on HCF of 172, 3612, 1204 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 172, 3612, 1204?
Answer: HCF of 172, 3612, 1204 is 172 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 172, 3612, 1204 using Euclid's Algorithm?
Answer: For arbitrary numbers 172, 3612, 1204 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.