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 455, 734 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 455, 734 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 455, 734 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 455, 734 is 1.
HCF(455, 734) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 455, 734 is 1.
Step 1: Since 734 > 455, we apply the division lemma to 734 and 455, to get
734 = 455 x 1 + 279
Step 2: Since the reminder 455 ≠ 0, we apply division lemma to 279 and 455, to get
455 = 279 x 1 + 176
Step 3: We consider the new divisor 279 and the new remainder 176, and apply the division lemma to get
279 = 176 x 1 + 103
We consider the new divisor 176 and the new remainder 103,and apply the division lemma to get
176 = 103 x 1 + 73
We consider the new divisor 103 and the new remainder 73,and apply the division lemma to get
103 = 73 x 1 + 30
We consider the new divisor 73 and the new remainder 30,and apply the division lemma to get
73 = 30 x 2 + 13
We consider the new divisor 30 and the new remainder 13,and apply the division lemma to get
30 = 13 x 2 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 455 and 734 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(30,13) = HCF(73,30) = HCF(103,73) = HCF(176,103) = HCF(279,176) = HCF(455,279) = HCF(734,455) .
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 455, 734?
Answer: HCF of 455, 734 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 455, 734 using Euclid's Algorithm?
Answer: For arbitrary numbers 455, 734 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.