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 448, 8301 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 448, 8301 is 1 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 448, 8301 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 448, 8301 is 1.
HCF(448, 8301) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 448, 8301 is 1.
Step 1: Since 8301 > 448, we apply the division lemma to 8301 and 448, to get
8301 = 448 x 18 + 237
Step 2: Since the reminder 448 ≠ 0, we apply division lemma to 237 and 448, to get
448 = 237 x 1 + 211
Step 3: We consider the new divisor 237 and the new remainder 211, and apply the division lemma to get
237 = 211 x 1 + 26
We consider the new divisor 211 and the new remainder 26,and apply the division lemma to get
211 = 26 x 8 + 3
We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get
26 = 3 x 8 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 448 and 8301 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(211,26) = HCF(237,211) = HCF(448,237) = HCF(8301,448) .
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 448, 8301?
Answer: HCF of 448, 8301 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 448, 8301 using Euclid's Algorithm?
Answer: For arbitrary numbers 448, 8301 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.