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 4218, 2544 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 4218, 2544 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 4218, 2544 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 4218, 2544 is 6.
HCF(4218, 2544) = 6
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4218, 2544 is 6.
Step 1: Since 4218 > 2544, we apply the division lemma to 4218 and 2544, to get
4218 = 2544 x 1 + 1674
Step 2: Since the reminder 2544 ≠ 0, we apply division lemma to 1674 and 2544, to get
2544 = 1674 x 1 + 870
Step 3: We consider the new divisor 1674 and the new remainder 870, and apply the division lemma to get
1674 = 870 x 1 + 804
We consider the new divisor 870 and the new remainder 804,and apply the division lemma to get
870 = 804 x 1 + 66
We consider the new divisor 804 and the new remainder 66,and apply the division lemma to get
804 = 66 x 12 + 12
We consider the new divisor 66 and the new remainder 12,and apply the division lemma to get
66 = 12 x 5 + 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 4218 and 2544 is 6
Notice that 6 = HCF(12,6) = HCF(66,12) = HCF(804,66) = HCF(870,804) = HCF(1674,870) = HCF(2544,1674) = HCF(4218,2544) .
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 4218, 2544?
Answer: HCF of 4218, 2544 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4218, 2544 using Euclid's Algorithm?
Answer: For arbitrary numbers 4218, 2544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.