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 747, 449, 296 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 747, 449, 296 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 747, 449, 296 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 747, 449, 296 is 1.
HCF(747, 449, 296) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 747, 449, 296 is 1.
Step 1: Since 747 > 449, we apply the division lemma to 747 and 449, to get
747 = 449 x 1 + 298
Step 2: Since the reminder 449 ≠ 0, we apply division lemma to 298 and 449, to get
449 = 298 x 1 + 151
Step 3: We consider the new divisor 298 and the new remainder 151, and apply the division lemma to get
298 = 151 x 1 + 147
We consider the new divisor 151 and the new remainder 147,and apply the division lemma to get
151 = 147 x 1 + 4
We consider the new divisor 147 and the new remainder 4,and apply the division lemma to get
147 = 4 x 36 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 747 and 449 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(147,4) = HCF(151,147) = HCF(298,151) = HCF(449,298) = HCF(747,449) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 296 > 1, we apply the division lemma to 296 and 1, to get
296 = 1 x 296 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 296 is 1
Notice that 1 = HCF(296,1) .
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 747, 449, 296?
Answer: HCF of 747, 449, 296 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 747, 449, 296 using Euclid's Algorithm?
Answer: For arbitrary numbers 747, 449, 296 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.