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 730, 452 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 730, 452 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 730, 452 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 730, 452 is 2.
HCF(730, 452) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 730, 452 is 2.
Step 1: Since 730 > 452, we apply the division lemma to 730 and 452, to get
730 = 452 x 1 + 278
Step 2: Since the reminder 452 ≠ 0, we apply division lemma to 278 and 452, to get
452 = 278 x 1 + 174
Step 3: We consider the new divisor 278 and the new remainder 174, and apply the division lemma to get
278 = 174 x 1 + 104
We consider the new divisor 174 and the new remainder 104,and apply the division lemma to get
174 = 104 x 1 + 70
We consider the new divisor 104 and the new remainder 70,and apply the division lemma to get
104 = 70 x 1 + 34
We consider the new divisor 70 and the new remainder 34,and apply the division lemma to get
70 = 34 x 2 + 2
We consider the new divisor 34 and the new remainder 2,and apply the division lemma to get
34 = 2 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 730 and 452 is 2
Notice that 2 = HCF(34,2) = HCF(70,34) = HCF(104,70) = HCF(174,104) = HCF(278,174) = HCF(452,278) = HCF(730,452) .
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 730, 452?
Answer: HCF of 730, 452 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 730, 452 using Euclid's Algorithm?
Answer: For arbitrary numbers 730, 452 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.