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, 8748 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9014, 8748 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, 8748 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, 8748 is 2.
HCF(9014, 8748) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9014, 8748 is 2.
Step 1: Since 9014 > 8748, we apply the division lemma to 9014 and 8748, to get
9014 = 8748 x 1 + 266
Step 2: Since the reminder 8748 ≠ 0, we apply division lemma to 266 and 8748, to get
8748 = 266 x 32 + 236
Step 3: We consider the new divisor 266 and the new remainder 236, and apply the division lemma to get
266 = 236 x 1 + 30
We consider the new divisor 236 and the new remainder 30,and apply the division lemma to get
236 = 30 x 7 + 26
We consider the new divisor 30 and the new remainder 26,and apply the division lemma to get
30 = 26 x 1 + 4
We consider the new divisor 26 and the new remainder 4,and apply the division lemma to get
26 = 4 x 6 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9014 and 8748 is 2
Notice that 2 = HCF(4,2) = HCF(26,4) = HCF(30,26) = HCF(236,30) = HCF(266,236) = HCF(8748,266) = HCF(9014,8748) .
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 9014, 8748?
Answer: HCF of 9014, 8748 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9014, 8748 using Euclid's Algorithm?
Answer: For arbitrary numbers 9014, 8748 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.