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 4982, 5542 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4982, 5542 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 4982, 5542 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 4982, 5542 is 2.
HCF(4982, 5542) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4982, 5542 is 2.
Step 1: Since 5542 > 4982, we apply the division lemma to 5542 and 4982, to get
5542 = 4982 x 1 + 560
Step 2: Since the reminder 4982 ≠ 0, we apply division lemma to 560 and 4982, to get
4982 = 560 x 8 + 502
Step 3: We consider the new divisor 560 and the new remainder 502, and apply the division lemma to get
560 = 502 x 1 + 58
We consider the new divisor 502 and the new remainder 58,and apply the division lemma to get
502 = 58 x 8 + 38
We consider the new divisor 58 and the new remainder 38,and apply the division lemma to get
58 = 38 x 1 + 20
We consider the new divisor 38 and the new remainder 20,and apply the division lemma to get
38 = 20 x 1 + 18
We consider the new divisor 20 and the new remainder 18,and apply the division lemma to get
20 = 18 x 1 + 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 4982 and 5542 is 2
Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(38,20) = HCF(58,38) = HCF(502,58) = HCF(560,502) = HCF(4982,560) = HCF(5542,4982) .
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 4982, 5542?
Answer: HCF of 4982, 5542 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4982, 5542 using Euclid's Algorithm?
Answer: For arbitrary numbers 4982, 5542 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.