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 4473, 2735 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4473, 2735 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 4473, 2735 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 4473, 2735 is 1.
HCF(4473, 2735) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4473, 2735 is 1.
Step 1: Since 4473 > 2735, we apply the division lemma to 4473 and 2735, to get
4473 = 2735 x 1 + 1738
Step 2: Since the reminder 2735 ≠ 0, we apply division lemma to 1738 and 2735, to get
2735 = 1738 x 1 + 997
Step 3: We consider the new divisor 1738 and the new remainder 997, and apply the division lemma to get
1738 = 997 x 1 + 741
We consider the new divisor 997 and the new remainder 741,and apply the division lemma to get
997 = 741 x 1 + 256
We consider the new divisor 741 and the new remainder 256,and apply the division lemma to get
741 = 256 x 2 + 229
We consider the new divisor 256 and the new remainder 229,and apply the division lemma to get
256 = 229 x 1 + 27
We consider the new divisor 229 and the new remainder 27,and apply the division lemma to get
229 = 27 x 8 + 13
We consider the new divisor 27 and the new remainder 13,and apply the division lemma to get
27 = 13 x 2 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4473 and 2735 is 1
Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(229,27) = HCF(256,229) = HCF(741,256) = HCF(997,741) = HCF(1738,997) = HCF(2735,1738) = HCF(4473,2735) .
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 4473, 2735?
Answer: HCF of 4473, 2735 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4473, 2735 using Euclid's Algorithm?
Answer: For arbitrary numbers 4473, 2735 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.