Highest Common Factor of 6018, 7884 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 6018, 7884 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 6018, 7884 is 6 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 6018, 7884 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 6018, 7884 is 6.
HCF(6018, 7884) = 6
HCF of 6018, 7884 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6018, 7884 is 6.
Highest Common Factor of 6018,7884 is 6
Step 1: Since 7884 > 6018, we apply the division lemma to 7884 and 6018, to get
7884 = 6018 x 1 + 1866
Step 2: Since the reminder 6018 ≠ 0, we apply division lemma to 1866 and 6018, to get
6018 = 1866 x 3 + 420
Step 3: We consider the new divisor 1866 and the new remainder 420, and apply the division lemma to get
1866 = 420 x 4 + 186
We consider the new divisor 420 and the new remainder 186,and apply the division lemma to get
420 = 186 x 2 + 48
We consider the new divisor 186 and the new remainder 48,and apply the division lemma to get
186 = 48 x 3 + 42
We consider the new divisor 48 and the new remainder 42,and apply the division lemma to get
48 = 42 x 1 + 6
We consider the new divisor 42 and the new remainder 6,and apply the division lemma to get
42 = 6 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 6018 and 7884 is 6
Notice that 6 = HCF(42,6) = HCF(48,42) = HCF(186,48) = HCF(420,186) = HCF(1866,420) = HCF(6018,1866) = HCF(7884,6018) .
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Frequently Asked Questions on HCF of 6018, 7884 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 6018, 7884?
Answer: HCF of 6018, 7884 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6018, 7884 using Euclid's Algorithm?
Answer: For arbitrary numbers 6018, 7884 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.