Highest Common Factor of 718, 908 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, 908 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 718, 908 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 718, 908 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, 908 is 2.
HCF(718, 908) = 2
HCF of 718, 908 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, 908 is 2.
Highest Common Factor of 718,908 is 2
Step 1: Since 908 > 718, we apply the division lemma to 908 and 718, to get
908 = 718 x 1 + 190
Step 2: Since the reminder 718 ≠ 0, we apply division lemma to 190 and 718, to get
718 = 190 x 3 + 148
Step 3: We consider the new divisor 190 and the new remainder 148, and apply the division lemma to get
190 = 148 x 1 + 42
We consider the new divisor 148 and the new remainder 42,and apply the division lemma to get
148 = 42 x 3 + 22
We consider the new divisor 42 and the new remainder 22,and apply the division lemma to get
42 = 22 x 1 + 20
We consider the new divisor 22 and the new remainder 20,and apply the division lemma to get
22 = 20 x 1 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 718 and 908 is 2
Notice that 2 = HCF(20,2) = HCF(22,20) = HCF(42,22) = HCF(148,42) = HCF(190,148) = HCF(718,190) = HCF(908,718) .
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Frequently Asked Questions on HCF of 718, 908 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, 908?
Answer: HCF of 718, 908 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 718, 908 using Euclid's Algorithm?
Answer: For arbitrary numbers 718, 908 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.