Highest Common Factor of 746, 452 using Euclid's algorithm
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 746, 452 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 746, 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 746, 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 746, 452 is 2.
HCF(746, 452) = 2
HCF of 746, 452 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 746, 452 is 2.
Highest Common Factor of 746,452 is 2
Step 1: Since 746 > 452, we apply the division lemma to 746 and 452, to get
746 = 452 x 1 + 294
Step 2: Since the reminder 452 ≠ 0, we apply division lemma to 294 and 452, to get
452 = 294 x 1 + 158
Step 3: We consider the new divisor 294 and the new remainder 158, and apply the division lemma to get
294 = 158 x 1 + 136
We consider the new divisor 158 and the new remainder 136,and apply the division lemma to get
158 = 136 x 1 + 22
We consider the new divisor 136 and the new remainder 22,and apply the division lemma to get
136 = 22 x 6 + 4
We consider the new divisor 22 and the new remainder 4,and apply the division lemma to get
22 = 4 x 5 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 746 and 452 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(136,22) = HCF(158,136) = HCF(294,158) = HCF(452,294) = HCF(746,452) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 746, 452 using Euclid's Algorithm
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 746, 452?
Answer: HCF of 746, 452 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 746, 452 using Euclid's Algorithm?
Answer: For arbitrary numbers 746, 452 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.