Highest Common Factor of 662, 5498 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 662, 5498 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 662, 5498 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 662, 5498 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 662, 5498 is 2.
HCF(662, 5498) = 2
HCF of 662, 5498 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 662, 5498 is 2.
Highest Common Factor of 662,5498 is 2
Step 1: Since 5498 > 662, we apply the division lemma to 5498 and 662, to get
5498 = 662 x 8 + 202
Step 2: Since the reminder 662 ≠ 0, we apply division lemma to 202 and 662, to get
662 = 202 x 3 + 56
Step 3: We consider the new divisor 202 and the new remainder 56, and apply the division lemma to get
202 = 56 x 3 + 34
We consider the new divisor 56 and the new remainder 34,and apply the division lemma to get
56 = 34 x 1 + 22
We consider the new divisor 34 and the new remainder 22,and apply the division lemma to get
34 = 22 x 1 + 12
We consider the new divisor 22 and the new remainder 12,and apply the division lemma to get
22 = 12 x 1 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 662 and 5498 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(22,12) = HCF(34,22) = HCF(56,34) = HCF(202,56) = HCF(662,202) = HCF(5498,662) .
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Frequently Asked Questions on HCF of 662, 5498 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 662, 5498?
Answer: HCF of 662, 5498 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 662, 5498 using Euclid's Algorithm?
Answer: For arbitrary numbers 662, 5498 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
