Highest Common Factor of 718, 524, 325 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 718, 524, 325 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 718, 524, 325 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 718, 524, 325 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 718, 524, 325 is 1.
HCF(718, 524, 325) = 1
HCF of 718, 524, 325 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 718, 524, 325 is 1.
Highest Common Factor of 718,524,325 is 1
Step 1: Since 718 > 524, we apply the division lemma to 718 and 524, to get
718 = 524 x 1 + 194
Step 2: Since the reminder 524 ≠ 0, we apply division lemma to 194 and 524, to get
524 = 194 x 2 + 136
Step 3: We consider the new divisor 194 and the new remainder 136, and apply the division lemma to get
194 = 136 x 1 + 58
We consider the new divisor 136 and the new remainder 58,and apply the division lemma to get
136 = 58 x 2 + 20
We consider the new divisor 58 and the new remainder 20,and apply the division lemma to get
58 = 20 x 2 + 18
We consider the new divisor 20 and the new remainder 18,and apply the division lemma to get
20 = 18 x 1 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 718 and 524 is 2
Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(58,20) = HCF(136,58) = HCF(194,136) = HCF(524,194) = HCF(718,524) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 325 > 2, we apply the division lemma to 325 and 2, to get
325 = 2 x 162 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 325 is 1
Notice that 1 = HCF(2,1) = HCF(325,2) .
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Frequently Asked Questions on HCF of 718, 524, 325 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 718, 524, 325?
Answer: HCF of 718, 524, 325 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 718, 524, 325 using Euclid's Algorithm?
Answer: For arbitrary numbers 718, 524, 325 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.