Highest Common Factor of 658, 14725 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 658, 14725 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 658, 14725 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 658, 14725 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 658, 14725 is 1.
HCF(658, 14725) = 1
HCF of 658, 14725 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 658, 14725 is 1.
Highest Common Factor of 658,14725 is 1
Step 1: Since 14725 > 658, we apply the division lemma to 14725 and 658, to get
14725 = 658 x 22 + 249
Step 2: Since the reminder 658 ≠ 0, we apply division lemma to 249 and 658, to get
658 = 249 x 2 + 160
Step 3: We consider the new divisor 249 and the new remainder 160, and apply the division lemma to get
249 = 160 x 1 + 89
We consider the new divisor 160 and the new remainder 89,and apply the division lemma to get
160 = 89 x 1 + 71
We consider the new divisor 89 and the new remainder 71,and apply the division lemma to get
89 = 71 x 1 + 18
We consider the new divisor 71 and the new remainder 18,and apply the division lemma to get
71 = 18 x 3 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 658 and 14725 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(71,18) = HCF(89,71) = HCF(160,89) = HCF(249,160) = HCF(658,249) = HCF(14725,658) .
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Frequently Asked Questions on HCF of 658, 14725 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 658, 14725?
Answer: HCF of 658, 14725 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 658, 14725 using Euclid's Algorithm?
Answer: For arbitrary numbers 658, 14725 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.