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 9614, 6560 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9614, 6560 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 9614, 6560 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 9614, 6560 is 2.
HCF(9614, 6560) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9614, 6560 is 2.
Step 1: Since 9614 > 6560, we apply the division lemma to 9614 and 6560, to get
9614 = 6560 x 1 + 3054
Step 2: Since the reminder 6560 ≠ 0, we apply division lemma to 3054 and 6560, to get
6560 = 3054 x 2 + 452
Step 3: We consider the new divisor 3054 and the new remainder 452, and apply the division lemma to get
3054 = 452 x 6 + 342
We consider the new divisor 452 and the new remainder 342,and apply the division lemma to get
452 = 342 x 1 + 110
We consider the new divisor 342 and the new remainder 110,and apply the division lemma to get
342 = 110 x 3 + 12
We consider the new divisor 110 and the new remainder 12,and apply the division lemma to get
110 = 12 x 9 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9614 and 6560 is 2
Notice that 2 = HCF(12,2) = HCF(110,12) = HCF(342,110) = HCF(452,342) = HCF(3054,452) = HCF(6560,3054) = HCF(9614,6560) .
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 9614, 6560?
Answer: HCF of 9614, 6560 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9614, 6560 using Euclid's Algorithm?
Answer: For arbitrary numbers 9614, 6560 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.