Highest Common Factor of 330, 715, 247 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 330, 715, 247 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 330, 715, 247 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 330, 715, 247 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 330, 715, 247 is 1.
HCF(330, 715, 247) = 1
HCF of 330, 715, 247 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 330, 715, 247 is 1.
Highest Common Factor of 330,715,247 is 1
Step 1: Since 715 > 330, we apply the division lemma to 715 and 330, to get
715 = 330 x 2 + 55
Step 2: Since the reminder 330 ≠ 0, we apply division lemma to 55 and 330, to get
330 = 55 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 55, the HCF of 330 and 715 is 55
Notice that 55 = HCF(330,55) = HCF(715,330) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 247 > 55, we apply the division lemma to 247 and 55, to get
247 = 55 x 4 + 27
Step 2: Since the reminder 55 ≠ 0, we apply division lemma to 27 and 55, to get
55 = 27 x 2 + 1
Step 3: We consider the new divisor 27 and the new remainder 1, and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 55 and 247 is 1
Notice that 1 = HCF(27,1) = HCF(55,27) = HCF(247,55) .
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Frequently Asked Questions on HCF of 330, 715, 247 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 330, 715, 247?
Answer: HCF of 330, 715, 247 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 330, 715, 247 using Euclid's Algorithm?
Answer: For arbitrary numbers 330, 715, 247 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.