Highest Common Factor of 8446, 6912 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 8446, 6912 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8446, 6912 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 8446, 6912 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 8446, 6912 is 2.
HCF(8446, 6912) = 2
HCF of 8446, 6912 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8446, 6912 is 2.
Highest Common Factor of 8446,6912 is 2
Step 1: Since 8446 > 6912, we apply the division lemma to 8446 and 6912, to get
8446 = 6912 x 1 + 1534
Step 2: Since the reminder 6912 ≠ 0, we apply division lemma to 1534 and 6912, to get
6912 = 1534 x 4 + 776
Step 3: We consider the new divisor 1534 and the new remainder 776, and apply the division lemma to get
1534 = 776 x 1 + 758
We consider the new divisor 776 and the new remainder 758,and apply the division lemma to get
776 = 758 x 1 + 18
We consider the new divisor 758 and the new remainder 18,and apply the division lemma to get
758 = 18 x 42 + 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 8446 and 6912 is 2
Notice that 2 = HCF(18,2) = HCF(758,18) = HCF(776,758) = HCF(1534,776) = HCF(6912,1534) = HCF(8446,6912) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8446, 6912 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 8446, 6912?
Answer: HCF of 8446, 6912 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8446, 6912 using Euclid's Algorithm?
Answer: For arbitrary numbers 8446, 6912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.