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 447, 297 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 447, 297 is 3 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 447, 297 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 447, 297 is 3.
HCF(447, 297) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 447, 297 is 3.
Step 1: Since 447 > 297, we apply the division lemma to 447 and 297, to get
447 = 297 x 1 + 150
Step 2: Since the reminder 297 ≠ 0, we apply division lemma to 150 and 297, to get
297 = 150 x 1 + 147
Step 3: We consider the new divisor 150 and the new remainder 147, and apply the division lemma to get
150 = 147 x 1 + 3
We consider the new divisor 147 and the new remainder 3, and apply the division lemma to get
147 = 3 x 49 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 447 and 297 is 3
Notice that 3 = HCF(147,3) = HCF(150,147) = HCF(297,150) = HCF(447,297) .
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 447, 297?
Answer: HCF of 447, 297 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 447, 297 using Euclid's Algorithm?
Answer: For arbitrary numbers 447, 297 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.