Highest Common Factor of 2388, 7026 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 2388, 7026 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 2388, 7026 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 2388, 7026 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 2388, 7026 is 6.
HCF(2388, 7026) = 6
HCF of 2388, 7026 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2388, 7026 is 6.
Highest Common Factor of 2388,7026 is 6
Step 1: Since 7026 > 2388, we apply the division lemma to 7026 and 2388, to get
7026 = 2388 x 2 + 2250
Step 2: Since the reminder 2388 ≠ 0, we apply division lemma to 2250 and 2388, to get
2388 = 2250 x 1 + 138
Step 3: We consider the new divisor 2250 and the new remainder 138, and apply the division lemma to get
2250 = 138 x 16 + 42
We consider the new divisor 138 and the new remainder 42,and apply the division lemma to get
138 = 42 x 3 + 12
We consider the new divisor 42 and the new remainder 12,and apply the division lemma to get
42 = 12 x 3 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 2388 and 7026 is 6
Notice that 6 = HCF(12,6) = HCF(42,12) = HCF(138,42) = HCF(2250,138) = HCF(2388,2250) = HCF(7026,2388) .
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Frequently Asked Questions on HCF of 2388, 7026 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 2388, 7026?
Answer: HCF of 2388, 7026 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2388, 7026 using Euclid's Algorithm?
Answer: For arbitrary numbers 2388, 7026 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.