Highest Common Factor of 718, 28628 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, 28628 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 718, 28628 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, 28628 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, 28628 is 2.
HCF(718, 28628) = 2
HCF of 718, 28628 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, 28628 is 2.
Highest Common Factor of 718,28628 is 2
Step 1: Since 28628 > 718, we apply the division lemma to 28628 and 718, to get
28628 = 718 x 39 + 626
Step 2: Since the reminder 718 ≠ 0, we apply division lemma to 626 and 718, to get
718 = 626 x 1 + 92
Step 3: We consider the new divisor 626 and the new remainder 92, and apply the division lemma to get
626 = 92 x 6 + 74
We consider the new divisor 92 and the new remainder 74,and apply the division lemma to get
92 = 74 x 1 + 18
We consider the new divisor 74 and the new remainder 18,and apply the division lemma to get
74 = 18 x 4 + 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 28628 is 2
Notice that 2 = HCF(18,2) = HCF(74,18) = HCF(92,74) = HCF(626,92) = HCF(718,626) = HCF(28628,718) .
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Frequently Asked Questions on HCF of 718, 28628 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, 28628?
Answer: HCF of 718, 28628 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 718, 28628 using Euclid's Algorithm?
Answer: For arbitrary numbers 718, 28628 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.