Highest Common Factor of 9014, 2952 using Euclid's algorithm
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 9014, 2952 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9014, 2952 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 9014, 2952 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 9014, 2952 is 2.
HCF(9014, 2952) = 2
HCF of 9014, 2952 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9014, 2952 is 2.
Highest Common Factor of 9014,2952 is 2
Step 1: Since 9014 > 2952, we apply the division lemma to 9014 and 2952, to get
9014 = 2952 x 3 + 158
Step 2: Since the reminder 2952 ≠ 0, we apply division lemma to 158 and 2952, to get
2952 = 158 x 18 + 108
Step 3: We consider the new divisor 158 and the new remainder 108, and apply the division lemma to get
158 = 108 x 1 + 50
We consider the new divisor 108 and the new remainder 50,and apply the division lemma to get
108 = 50 x 2 + 8
We consider the new divisor 50 and the new remainder 8,and apply the division lemma to get
50 = 8 x 6 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9014 and 2952 is 2
Notice that 2 = HCF(8,2) = HCF(50,8) = HCF(108,50) = HCF(158,108) = HCF(2952,158) = HCF(9014,2952) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9014, 2952 using Euclid's Algorithm
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 9014, 2952?
Answer: HCF of 9014, 2952 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9014, 2952 using Euclid's Algorithm?
Answer: For arbitrary numbers 9014, 2952 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.