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, 5450 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2388, 5450 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 2388, 5450 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, 5450 is 2.
HCF(2388, 5450) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2388, 5450 is 2.
Step 1: Since 5450 > 2388, we apply the division lemma to 5450 and 2388, to get
5450 = 2388 x 2 + 674
Step 2: Since the reminder 2388 ≠ 0, we apply division lemma to 674 and 2388, to get
2388 = 674 x 3 + 366
Step 3: We consider the new divisor 674 and the new remainder 366, and apply the division lemma to get
674 = 366 x 1 + 308
We consider the new divisor 366 and the new remainder 308,and apply the division lemma to get
366 = 308 x 1 + 58
We consider the new divisor 308 and the new remainder 58,and apply the division lemma to get
308 = 58 x 5 + 18
We consider the new divisor 58 and the new remainder 18,and apply the division lemma to get
58 = 18 x 3 + 4
We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get
18 = 4 x 4 + 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 2388 and 5450 is 2
Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(58,18) = HCF(308,58) = HCF(366,308) = HCF(674,366) = HCF(2388,674) = HCF(5450,2388) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 5450?
Answer: HCF of 2388, 5450 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2388, 5450 using Euclid's Algorithm?
Answer: For arbitrary numbers 2388, 5450 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.