Highest Common Factor of 316, 375, 145, 144 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 316, 375, 145, 144 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 316, 375, 145, 144 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 316, 375, 145, 144 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 316, 375, 145, 144 is 1.
HCF(316, 375, 145, 144) = 1
HCF of 316, 375, 145, 144 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 316, 375, 145, 144 is 1.
Highest Common Factor of 316,375,145,144 is 1
Step 1: Since 375 > 316, we apply the division lemma to 375 and 316, to get
375 = 316 x 1 + 59
Step 2: Since the reminder 316 ≠ 0, we apply division lemma to 59 and 316, to get
316 = 59 x 5 + 21
Step 3: We consider the new divisor 59 and the new remainder 21, and apply the division lemma to get
59 = 21 x 2 + 17
We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get
21 = 17 x 1 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 316 and 375 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(59,21) = HCF(316,59) = HCF(375,316) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 145 > 1, we apply the division lemma to 145 and 1, to get
145 = 1 x 145 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 145 is 1
Notice that 1 = HCF(145,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 144 > 1, we apply the division lemma to 144 and 1, to get
144 = 1 x 144 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 144 is 1
Notice that 1 = HCF(144,1) .
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Frequently Asked Questions on HCF of 316, 375, 145, 144 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 316, 375, 145, 144?
Answer: HCF of 316, 375, 145, 144 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 316, 375, 145, 144 using Euclid's Algorithm?
Answer: For arbitrary numbers 316, 375, 145, 144 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
