Highest Common Factor of 5280, 5616, 82498 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 5280, 5616, 82498 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5280, 5616, 82498 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 5280, 5616, 82498 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 5280, 5616, 82498 is 2.
HCF(5280, 5616, 82498) = 2
HCF of 5280, 5616, 82498 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5280, 5616, 82498 is 2.
Highest Common Factor of 5280,5616,82498 is 2
Step 1: Since 5616 > 5280, we apply the division lemma to 5616 and 5280, to get
5616 = 5280 x 1 + 336
Step 2: Since the reminder 5280 ≠ 0, we apply division lemma to 336 and 5280, to get
5280 = 336 x 15 + 240
Step 3: We consider the new divisor 336 and the new remainder 240, and apply the division lemma to get
336 = 240 x 1 + 96
We consider the new divisor 240 and the new remainder 96,and apply the division lemma to get
240 = 96 x 2 + 48
We consider the new divisor 96 and the new remainder 48,and apply the division lemma to get
96 = 48 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 48, the HCF of 5280 and 5616 is 48
Notice that 48 = HCF(96,48) = HCF(240,96) = HCF(336,240) = HCF(5280,336) = HCF(5616,5280) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 82498 > 48, we apply the division lemma to 82498 and 48, to get
82498 = 48 x 1718 + 34
Step 2: Since the reminder 48 ≠ 0, we apply division lemma to 34 and 48, to get
48 = 34 x 1 + 14
Step 3: We consider the new divisor 34 and the new remainder 14, and apply the division lemma to get
34 = 14 x 2 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 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 48 and 82498 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(34,14) = HCF(48,34) = HCF(82498,48) .
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Frequently Asked Questions on HCF of 5280, 5616, 82498 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 5280, 5616, 82498?
Answer: HCF of 5280, 5616, 82498 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5280, 5616, 82498 using Euclid's Algorithm?
Answer: For arbitrary numbers 5280, 5616, 82498 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.