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 658, 9055 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 658, 9055 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 658, 9055 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 658, 9055 is 1.
HCF(658, 9055) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 658, 9055 is 1.
Step 1: Since 9055 > 658, we apply the division lemma to 9055 and 658, to get
9055 = 658 x 13 + 501
Step 2: Since the reminder 658 ≠ 0, we apply division lemma to 501 and 658, to get
658 = 501 x 1 + 157
Step 3: We consider the new divisor 501 and the new remainder 157, and apply the division lemma to get
501 = 157 x 3 + 30
We consider the new divisor 157 and the new remainder 30,and apply the division lemma to get
157 = 30 x 5 + 7
We consider the new divisor 30 and the new remainder 7,and apply the division lemma to get
30 = 7 x 4 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 658 and 9055 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(30,7) = HCF(157,30) = HCF(501,157) = HCF(658,501) = HCF(9055,658) .
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 658, 9055?
Answer: HCF of 658, 9055 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 658, 9055 using Euclid's Algorithm?
Answer: For arbitrary numbers 658, 9055 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.