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 9055, 6470 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 9055, 6470 is 5 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 9055, 6470 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 9055, 6470 is 5.
HCF(9055, 6470) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9055, 6470 is 5.
Step 1: Since 9055 > 6470, we apply the division lemma to 9055 and 6470, to get
9055 = 6470 x 1 + 2585
Step 2: Since the reminder 6470 ≠ 0, we apply division lemma to 2585 and 6470, to get
6470 = 2585 x 2 + 1300
Step 3: We consider the new divisor 2585 and the new remainder 1300, and apply the division lemma to get
2585 = 1300 x 1 + 1285
We consider the new divisor 1300 and the new remainder 1285,and apply the division lemma to get
1300 = 1285 x 1 + 15
We consider the new divisor 1285 and the new remainder 15,and apply the division lemma to get
1285 = 15 x 85 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 9055 and 6470 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(1285,15) = HCF(1300,1285) = HCF(2585,1300) = HCF(6470,2585) = HCF(9055,6470) .
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 9055, 6470?
Answer: HCF of 9055, 6470 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9055, 6470 using Euclid's Algorithm?
Answer: For arbitrary numbers 9055, 6470 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.