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 447, 6154 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 447, 6154 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 447, 6154 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 447, 6154 is 1.
HCF(447, 6154) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 447, 6154 is 1.
Step 1: Since 6154 > 447, we apply the division lemma to 6154 and 447, to get
6154 = 447 x 13 + 343
Step 2: Since the reminder 447 ≠ 0, we apply division lemma to 343 and 447, to get
447 = 343 x 1 + 104
Step 3: We consider the new divisor 343 and the new remainder 104, and apply the division lemma to get
343 = 104 x 3 + 31
We consider the new divisor 104 and the new remainder 31,and apply the division lemma to get
104 = 31 x 3 + 11
We consider the new divisor 31 and the new remainder 11,and apply the division lemma to get
31 = 11 x 2 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 447 and 6154 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(31,11) = HCF(104,31) = HCF(343,104) = HCF(447,343) = HCF(6154,447) .
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 447, 6154?
Answer: HCF of 447, 6154 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 447, 6154 using Euclid's Algorithm?
Answer: For arbitrary numbers 447, 6154 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.