Highest Common Factor of 4982, 7166 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 4982, 7166 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4982, 7166 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 4982, 7166 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 4982, 7166 is 2.
HCF(4982, 7166) = 2
HCF of 4982, 7166 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4982, 7166 is 2.
Highest Common Factor of 4982,7166 is 2
Step 1: Since 7166 > 4982, we apply the division lemma to 7166 and 4982, to get
7166 = 4982 x 1 + 2184
Step 2: Since the reminder 4982 ≠ 0, we apply division lemma to 2184 and 4982, to get
4982 = 2184 x 2 + 614
Step 3: We consider the new divisor 2184 and the new remainder 614, and apply the division lemma to get
2184 = 614 x 3 + 342
We consider the new divisor 614 and the new remainder 342,and apply the division lemma to get
614 = 342 x 1 + 272
We consider the new divisor 342 and the new remainder 272,and apply the division lemma to get
342 = 272 x 1 + 70
We consider the new divisor 272 and the new remainder 70,and apply the division lemma to get
272 = 70 x 3 + 62
We consider the new divisor 70 and the new remainder 62,and apply the division lemma to get
70 = 62 x 1 + 8
We consider the new divisor 62 and the new remainder 8,and apply the division lemma to get
62 = 8 x 7 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4982 and 7166 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(62,8) = HCF(70,62) = HCF(272,70) = HCF(342,272) = HCF(614,342) = HCF(2184,614) = HCF(4982,2184) = HCF(7166,4982) .
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Frequently Asked Questions on HCF of 4982, 7166 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 4982, 7166?
Answer: HCF of 4982, 7166 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4982, 7166 using Euclid's Algorithm?
Answer: For arbitrary numbers 4982, 7166 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.