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 7342, 2273 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7342, 2273 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 7342, 2273 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 7342, 2273 is 1.
HCF(7342, 2273) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7342, 2273 is 1.
Step 1: Since 7342 > 2273, we apply the division lemma to 7342 and 2273, to get
7342 = 2273 x 3 + 523
Step 2: Since the reminder 2273 ≠ 0, we apply division lemma to 523 and 2273, to get
2273 = 523 x 4 + 181
Step 3: We consider the new divisor 523 and the new remainder 181, and apply the division lemma to get
523 = 181 x 2 + 161
We consider the new divisor 181 and the new remainder 161,and apply the division lemma to get
181 = 161 x 1 + 20
We consider the new divisor 161 and the new remainder 20,and apply the division lemma to get
161 = 20 x 8 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7342 and 2273 is 1
Notice that 1 = HCF(20,1) = HCF(161,20) = HCF(181,161) = HCF(523,181) = HCF(2273,523) = HCF(7342,2273) .
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 7342, 2273?
Answer: HCF of 7342, 2273 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7342, 2273 using Euclid's Algorithm?
Answer: For arbitrary numbers 7342, 2273 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.