Highest Common Factor of 144, 800, 631, 276 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 144, 800, 631, 276 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 144, 800, 631, 276 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 144, 800, 631, 276 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 144, 800, 631, 276 is 1.
HCF(144, 800, 631, 276) = 1
HCF of 144, 800, 631, 276 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 144, 800, 631, 276 is 1.
Highest Common Factor of 144,800,631,276 is 1
Step 1: Since 800 > 144, we apply the division lemma to 800 and 144, to get
800 = 144 x 5 + 80
Step 2: Since the reminder 144 ≠ 0, we apply division lemma to 80 and 144, to get
144 = 80 x 1 + 64
Step 3: We consider the new divisor 80 and the new remainder 64, and apply the division lemma to get
80 = 64 x 1 + 16
We consider the new divisor 64 and the new remainder 16, and apply the division lemma to get
64 = 16 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 144 and 800 is 16
Notice that 16 = HCF(64,16) = HCF(80,64) = HCF(144,80) = HCF(800,144) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 631 > 16, we apply the division lemma to 631 and 16, to get
631 = 16 x 39 + 7
Step 2: Since the reminder 16 ≠ 0, we apply division lemma to 7 and 16, to get
16 = 7 x 2 + 2
Step 3: We consider the new divisor 7 and the new remainder 2, and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 16 and 631 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(631,16) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 276 > 1, we apply the division lemma to 276 and 1, to get
276 = 1 x 276 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 276 is 1
Notice that 1 = HCF(276,1) .
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Frequently Asked Questions on HCF of 144, 800, 631, 276 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 144, 800, 631, 276?
Answer: HCF of 144, 800, 631, 276 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 144, 800, 631, 276 using Euclid's Algorithm?
Answer: For arbitrary numbers 144, 800, 631, 276 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.