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 276, 449, 548 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 276, 449, 548 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 276, 449, 548 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 276, 449, 548 is 1.
HCF(276, 449, 548) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 276, 449, 548 is 1.
Step 1: Since 449 > 276, we apply the division lemma to 449 and 276, to get
449 = 276 x 1 + 173
Step 2: Since the reminder 276 ≠ 0, we apply division lemma to 173 and 276, to get
276 = 173 x 1 + 103
Step 3: We consider the new divisor 173 and the new remainder 103, and apply the division lemma to get
173 = 103 x 1 + 70
We consider the new divisor 103 and the new remainder 70,and apply the division lemma to get
103 = 70 x 1 + 33
We consider the new divisor 70 and the new remainder 33,and apply the division lemma to get
70 = 33 x 2 + 4
We consider the new divisor 33 and the new remainder 4,and apply the division lemma to get
33 = 4 x 8 + 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 276 and 449 is 1
Notice that 1 = HCF(4,1) = HCF(33,4) = HCF(70,33) = HCF(103,70) = HCF(173,103) = HCF(276,173) = HCF(449,276) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 548 > 1, we apply the division lemma to 548 and 1, to get
548 = 1 x 548 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 548 is 1
Notice that 1 = HCF(548,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 276, 449, 548?
Answer: HCF of 276, 449, 548 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 276, 449, 548 using Euclid's Algorithm?
Answer: For arbitrary numbers 276, 449, 548 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.