Highest Common Factor of 300, 276, 331 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 300, 276, 331 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 300, 276, 331 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 300, 276, 331 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 300, 276, 331 is 1.
HCF(300, 276, 331) = 1
HCF of 300, 276, 331 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 300, 276, 331 is 1.
Highest Common Factor of 300,276,331 is 1
Step 1: Since 300 > 276, we apply the division lemma to 300 and 276, to get
300 = 276 x 1 + 24
Step 2: Since the reminder 276 ≠ 0, we apply division lemma to 24 and 276, to get
276 = 24 x 11 + 12
Step 3: We consider the new divisor 24 and the new remainder 12, and apply the division lemma to get
24 = 12 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 300 and 276 is 12
Notice that 12 = HCF(24,12) = HCF(276,24) = HCF(300,276) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 331 > 12, we apply the division lemma to 331 and 12, to get
331 = 12 x 27 + 7
Step 2: Since the reminder 12 ≠ 0, we apply division lemma to 7 and 12, to get
12 = 7 x 1 + 5
Step 3: We consider the new divisor 7 and the new remainder 5, and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 12 and 331 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(331,12) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 300, 276, 331 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 300, 276, 331?
Answer: HCF of 300, 276, 331 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 300, 276, 331 using Euclid's Algorithm?
Answer: For arbitrary numbers 300, 276, 331 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
