Highest Common Factor of 8930, 6648 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 8930, 6648 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8930, 6648 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 8930, 6648 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 8930, 6648 is 2.
HCF(8930, 6648) = 2
HCF of 8930, 6648 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8930, 6648 is 2.
Highest Common Factor of 8930,6648 is 2
Step 1: Since 8930 > 6648, we apply the division lemma to 8930 and 6648, to get
8930 = 6648 x 1 + 2282
Step 2: Since the reminder 6648 ≠ 0, we apply division lemma to 2282 and 6648, to get
6648 = 2282 x 2 + 2084
Step 3: We consider the new divisor 2282 and the new remainder 2084, and apply the division lemma to get
2282 = 2084 x 1 + 198
We consider the new divisor 2084 and the new remainder 198,and apply the division lemma to get
2084 = 198 x 10 + 104
We consider the new divisor 198 and the new remainder 104,and apply the division lemma to get
198 = 104 x 1 + 94
We consider the new divisor 104 and the new remainder 94,and apply the division lemma to get
104 = 94 x 1 + 10
We consider the new divisor 94 and the new remainder 10,and apply the division lemma to get
94 = 10 x 9 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8930 and 6648 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(94,10) = HCF(104,94) = HCF(198,104) = HCF(2084,198) = HCF(2282,2084) = HCF(6648,2282) = HCF(8930,6648) .
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Frequently Asked Questions on HCF of 8930, 6648 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 8930, 6648?
Answer: HCF of 8930, 6648 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8930, 6648 using Euclid's Algorithm?
Answer: For arbitrary numbers 8930, 6648 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.