Highest Common Factor of 315, 357, 326, 36 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 315, 357, 326, 36 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 315, 357, 326, 36 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 315, 357, 326, 36 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 315, 357, 326, 36 is 1.
HCF(315, 357, 326, 36) = 1
HCF of 315, 357, 326, 36 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 315, 357, 326, 36 is 1.
Highest Common Factor of 315,357,326,36 is 1
Step 1: Since 357 > 315, we apply the division lemma to 357 and 315, to get
357 = 315 x 1 + 42
Step 2: Since the reminder 315 ≠ 0, we apply division lemma to 42 and 315, to get
315 = 42 x 7 + 21
Step 3: We consider the new divisor 42 and the new remainder 21, and apply the division lemma to get
42 = 21 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 21, the HCF of 315 and 357 is 21
Notice that 21 = HCF(42,21) = HCF(315,42) = HCF(357,315) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 326 > 21, we apply the division lemma to 326 and 21, to get
326 = 21 x 15 + 11
Step 2: Since the reminder 21 ≠ 0, we apply division lemma to 11 and 21, to get
21 = 11 x 1 + 10
Step 3: We consider the new divisor 11 and the new remainder 10, and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1, and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 21 and 326 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(326,21) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 36 > 1, we apply the division lemma to 36 and 1, to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36 is 1
Notice that 1 = HCF(36,1) .
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Frequently Asked Questions on HCF of 315, 357, 326, 36 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 315, 357, 326, 36?
Answer: HCF of 315, 357, 326, 36 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 315, 357, 326, 36 using Euclid's Algorithm?
Answer: For arbitrary numbers 315, 357, 326, 36 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
