Highest Common Factor of 467, 15214 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 467, 15214 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 467, 15214 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 467, 15214 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 467, 15214 is 1.
HCF(467, 15214) = 1
HCF of 467, 15214 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 467, 15214 is 1.
Highest Common Factor of 467,15214 is 1
Step 1: Since 15214 > 467, we apply the division lemma to 15214 and 467, to get
15214 = 467 x 32 + 270
Step 2: Since the reminder 467 ≠ 0, we apply division lemma to 270 and 467, to get
467 = 270 x 1 + 197
Step 3: We consider the new divisor 270 and the new remainder 197, and apply the division lemma to get
270 = 197 x 1 + 73
We consider the new divisor 197 and the new remainder 73,and apply the division lemma to get
197 = 73 x 2 + 51
We consider the new divisor 73 and the new remainder 51,and apply the division lemma to get
73 = 51 x 1 + 22
We consider the new divisor 51 and the new remainder 22,and apply the division lemma to get
51 = 22 x 2 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 467 and 15214 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(51,22) = HCF(73,51) = HCF(197,73) = HCF(270,197) = HCF(467,270) = HCF(15214,467) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 467, 15214 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 467, 15214?
Answer: HCF of 467, 15214 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 467, 15214 using Euclid's Algorithm?
Answer: For arbitrary numbers 467, 15214 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.