Highest Common Factor of 247, 417 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 247, 417 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 247, 417 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 247, 417 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 247, 417 is 1.
HCF(247, 417) = 1
HCF of 247, 417 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 247, 417 is 1.
Highest Common Factor of 247,417 is 1
Step 1: Since 417 > 247, we apply the division lemma to 417 and 247, to get
417 = 247 x 1 + 170
Step 2: Since the reminder 247 ≠ 0, we apply division lemma to 170 and 247, to get
247 = 170 x 1 + 77
Step 3: We consider the new divisor 170 and the new remainder 77, and apply the division lemma to get
170 = 77 x 2 + 16
We consider the new divisor 77 and the new remainder 16,and apply the division lemma to get
77 = 16 x 4 + 13
We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get
16 = 13 x 1 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 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 247 and 417 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(77,16) = HCF(170,77) = HCF(247,170) = HCF(417,247) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 247, 417 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 247, 417?
Answer: HCF of 247, 417 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 247, 417 using Euclid's Algorithm?
Answer: For arbitrary numbers 247, 417 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
