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 4498, 2684 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4498, 2684 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 4498, 2684 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 4498, 2684 is 2.
HCF(4498, 2684) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4498, 2684 is 2.
Step 1: Since 4498 > 2684, we apply the division lemma to 4498 and 2684, to get
4498 = 2684 x 1 + 1814
Step 2: Since the reminder 2684 ≠ 0, we apply division lemma to 1814 and 2684, to get
2684 = 1814 x 1 + 870
Step 3: We consider the new divisor 1814 and the new remainder 870, and apply the division lemma to get
1814 = 870 x 2 + 74
We consider the new divisor 870 and the new remainder 74,and apply the division lemma to get
870 = 74 x 11 + 56
We consider the new divisor 74 and the new remainder 56,and apply the division lemma to get
74 = 56 x 1 + 18
We consider the new divisor 56 and the new remainder 18,and apply the division lemma to get
56 = 18 x 3 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4498 and 2684 is 2
Notice that 2 = HCF(18,2) = HCF(56,18) = HCF(74,56) = HCF(870,74) = HCF(1814,870) = HCF(2684,1814) = HCF(4498,2684) .
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 4498, 2684?
Answer: HCF of 4498, 2684 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4498, 2684 using Euclid's Algorithm?
Answer: For arbitrary numbers 4498, 2684 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.