Highest Common Factor of 8498, 6030 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 8498, 6030 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8498, 6030 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 8498, 6030 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 8498, 6030 is 2.
HCF(8498, 6030) = 2
HCF of 8498, 6030 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8498, 6030 is 2.
Highest Common Factor of 8498,6030 is 2
Step 1: Since 8498 > 6030, we apply the division lemma to 8498 and 6030, to get
8498 = 6030 x 1 + 2468
Step 2: Since the reminder 6030 ≠ 0, we apply division lemma to 2468 and 6030, to get
6030 = 2468 x 2 + 1094
Step 3: We consider the new divisor 2468 and the new remainder 1094, and apply the division lemma to get
2468 = 1094 x 2 + 280
We consider the new divisor 1094 and the new remainder 280,and apply the division lemma to get
1094 = 280 x 3 + 254
We consider the new divisor 280 and the new remainder 254,and apply the division lemma to get
280 = 254 x 1 + 26
We consider the new divisor 254 and the new remainder 26,and apply the division lemma to get
254 = 26 x 9 + 20
We consider the new divisor 26 and the new remainder 20,and apply the division lemma to get
26 = 20 x 1 + 6
We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get
20 = 6 x 3 + 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 8498 and 6030 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(26,20) = HCF(254,26) = HCF(280,254) = HCF(1094,280) = HCF(2468,1094) = HCF(6030,2468) = HCF(8498,6030) .
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Frequently Asked Questions on HCF of 8498, 6030 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 8498, 6030?
Answer: HCF of 8498, 6030 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8498, 6030 using Euclid's Algorithm?
Answer: For arbitrary numbers 8498, 6030 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.