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 3042, 5110 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3042, 5110 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 3042, 5110 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 3042, 5110 is 2.
HCF(3042, 5110) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3042, 5110 is 2.
Step 1: Since 5110 > 3042, we apply the division lemma to 5110 and 3042, to get
5110 = 3042 x 1 + 2068
Step 2: Since the reminder 3042 ≠ 0, we apply division lemma to 2068 and 3042, to get
3042 = 2068 x 1 + 974
Step 3: We consider the new divisor 2068 and the new remainder 974, and apply the division lemma to get
2068 = 974 x 2 + 120
We consider the new divisor 974 and the new remainder 120,and apply the division lemma to get
974 = 120 x 8 + 14
We consider the new divisor 120 and the new remainder 14,and apply the division lemma to get
120 = 14 x 8 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3042 and 5110 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(120,14) = HCF(974,120) = HCF(2068,974) = HCF(3042,2068) = HCF(5110,3042) .
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 3042, 5110?
Answer: HCF of 3042, 5110 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3042, 5110 using Euclid's Algorithm?
Answer: For arbitrary numbers 3042, 5110 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.