Highest Common Factor of 638, 76380 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 638, 76380 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 638, 76380 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 638, 76380 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 638, 76380 is 2.
HCF(638, 76380) = 2
HCF of 638, 76380 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 638, 76380 is 2.
Highest Common Factor of 638,76380 is 2
Step 1: Since 76380 > 638, we apply the division lemma to 76380 and 638, to get
76380 = 638 x 119 + 458
Step 2: Since the reminder 638 ≠ 0, we apply division lemma to 458 and 638, to get
638 = 458 x 1 + 180
Step 3: We consider the new divisor 458 and the new remainder 180, and apply the division lemma to get
458 = 180 x 2 + 98
We consider the new divisor 180 and the new remainder 98,and apply the division lemma to get
180 = 98 x 1 + 82
We consider the new divisor 98 and the new remainder 82,and apply the division lemma to get
98 = 82 x 1 + 16
We consider the new divisor 82 and the new remainder 16,and apply the division lemma to get
82 = 16 x 5 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 638 and 76380 is 2
Notice that 2 = HCF(16,2) = HCF(82,16) = HCF(98,82) = HCF(180,98) = HCF(458,180) = HCF(638,458) = HCF(76380,638) .
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Frequently Asked Questions on HCF of 638, 76380 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 638, 76380?
Answer: HCF of 638, 76380 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 638, 76380 using Euclid's Algorithm?
Answer: For arbitrary numbers 638, 76380 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.