Highest Common Factor of 418, 718 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 418, 718 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 418, 718 is 2 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 418, 718 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 418, 718 is 2.
HCF(418, 718) = 2
HCF of 418, 718 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 418, 718 is 2.
Highest Common Factor of 418,718 is 2
Step 1: Since 718 > 418, we apply the division lemma to 718 and 418, to get
718 = 418 x 1 + 300
Step 2: Since the reminder 418 ≠ 0, we apply division lemma to 300 and 418, to get
418 = 300 x 1 + 118
Step 3: We consider the new divisor 300 and the new remainder 118, and apply the division lemma to get
300 = 118 x 2 + 64
We consider the new divisor 118 and the new remainder 64,and apply the division lemma to get
118 = 64 x 1 + 54
We consider the new divisor 64 and the new remainder 54,and apply the division lemma to get
64 = 54 x 1 + 10
We consider the new divisor 54 and the new remainder 10,and apply the division lemma to get
54 = 10 x 5 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 418 and 718 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(54,10) = HCF(64,54) = HCF(118,64) = HCF(300,118) = HCF(418,300) = HCF(718,418) .
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Frequently Asked Questions on HCF of 418, 718 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 418, 718?
Answer: HCF of 418, 718 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 418, 718 using Euclid's Algorithm?
Answer: For arbitrary numbers 418, 718 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.