Highest Common Factor of 8284, 798 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 8284, 798 i.e. 38 the largest integer that leaves a remainder zero for all numbers.
HCF of 8284, 798 is 38 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 8284, 798 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 8284, 798 is 38.
HCF(8284, 798) = 38
HCF of 8284, 798 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8284, 798 is 38.
Highest Common Factor of 8284,798 is 38
Step 1: Since 8284 > 798, we apply the division lemma to 8284 and 798, to get
8284 = 798 x 10 + 304
Step 2: Since the reminder 798 ≠ 0, we apply division lemma to 304 and 798, to get
798 = 304 x 2 + 190
Step 3: We consider the new divisor 304 and the new remainder 190, and apply the division lemma to get
304 = 190 x 1 + 114
We consider the new divisor 190 and the new remainder 114,and apply the division lemma to get
190 = 114 x 1 + 76
We consider the new divisor 114 and the new remainder 76,and apply the division lemma to get
114 = 76 x 1 + 38
We consider the new divisor 76 and the new remainder 38,and apply the division lemma to get
76 = 38 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 38, the HCF of 8284 and 798 is 38
Notice that 38 = HCF(76,38) = HCF(114,76) = HCF(190,114) = HCF(304,190) = HCF(798,304) = HCF(8284,798) .
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Frequently Asked Questions on HCF of 8284, 798 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 8284, 798?
Answer: HCF of 8284, 798 is 38 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8284, 798 using Euclid's Algorithm?
Answer: For arbitrary numbers 8284, 798 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.