Highest Common Factor of 318, 356, 372 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 318, 356, 372 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 318, 356, 372 is 2 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 318, 356, 372 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 318, 356, 372 is 2.
HCF(318, 356, 372) = 2
HCF of 318, 356, 372 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 318, 356, 372 is 2.
Highest Common Factor of 318,356,372 is 2
Step 1: Since 356 > 318, we apply the division lemma to 356 and 318, to get
356 = 318 x 1 + 38
Step 2: Since the reminder 318 ≠ 0, we apply division lemma to 38 and 318, to get
318 = 38 x 8 + 14
Step 3: We consider the new divisor 38 and the new remainder 14, and apply the division lemma to get
38 = 14 x 2 + 10
We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get
14 = 10 x 1 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 318 and 356 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(38,14) = HCF(318,38) = HCF(356,318) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 372 > 2, we apply the division lemma to 372 and 2, to get
372 = 2 x 186 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 372 is 2
Notice that 2 = HCF(372,2) .
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Frequently Asked Questions on HCF of 318, 356, 372 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 318, 356, 372?
Answer: HCF of 318, 356, 372 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 318, 356, 372 using Euclid's Algorithm?
Answer: For arbitrary numbers 318, 356, 372 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.