Highest Common Factor of 8946, 1288 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 8946, 1288 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 8946, 1288 is 14 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 8946, 1288 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 8946, 1288 is 14.
HCF(8946, 1288) = 14
HCF of 8946, 1288 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8946, 1288 is 14.
Highest Common Factor of 8946,1288 is 14
Step 1: Since 8946 > 1288, we apply the division lemma to 8946 and 1288, to get
8946 = 1288 x 6 + 1218
Step 2: Since the reminder 1288 ≠ 0, we apply division lemma to 1218 and 1288, to get
1288 = 1218 x 1 + 70
Step 3: We consider the new divisor 1218 and the new remainder 70, and apply the division lemma to get
1218 = 70 x 17 + 28
We consider the new divisor 70 and the new remainder 28,and apply the division lemma to get
70 = 28 x 2 + 14
We consider the new divisor 28 and the new remainder 14,and apply the division lemma to get
28 = 14 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 8946 and 1288 is 14
Notice that 14 = HCF(28,14) = HCF(70,28) = HCF(1218,70) = HCF(1288,1218) = HCF(8946,1288) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8946, 1288 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 8946, 1288?
Answer: HCF of 8946, 1288 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8946, 1288 using Euclid's Algorithm?
Answer: For arbitrary numbers 8946, 1288 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.