Highest Common Factor of 372, 567 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 372, 567 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 372, 567 is 3 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 372, 567 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 372, 567 is 3.
HCF(372, 567) = 3
HCF of 372, 567 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 372, 567 is 3.
Highest Common Factor of 372,567 is 3
Step 1: Since 567 > 372, we apply the division lemma to 567 and 372, to get
567 = 372 x 1 + 195
Step 2: Since the reminder 372 ≠ 0, we apply division lemma to 195 and 372, to get
372 = 195 x 1 + 177
Step 3: We consider the new divisor 195 and the new remainder 177, and apply the division lemma to get
195 = 177 x 1 + 18
We consider the new divisor 177 and the new remainder 18,and apply the division lemma to get
177 = 18 x 9 + 15
We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get
18 = 15 x 1 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 372 and 567 is 3
Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(177,18) = HCF(195,177) = HCF(372,195) = HCF(567,372) .
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Frequently Asked Questions on HCF of 372, 567 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 372, 567?
Answer: HCF of 372, 567 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 372, 567 using Euclid's Algorithm?
Answer: For arbitrary numbers 372, 567 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.