Highest Common Factor of 9396, 6350 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 9396, 6350 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9396, 6350 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 9396, 6350 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 9396, 6350 is 2.
HCF(9396, 6350) = 2
HCF of 9396, 6350 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9396, 6350 is 2.
Highest Common Factor of 9396,6350 is 2
Step 1: Since 9396 > 6350, we apply the division lemma to 9396 and 6350, to get
9396 = 6350 x 1 + 3046
Step 2: Since the reminder 6350 ≠ 0, we apply division lemma to 3046 and 6350, to get
6350 = 3046 x 2 + 258
Step 3: We consider the new divisor 3046 and the new remainder 258, and apply the division lemma to get
3046 = 258 x 11 + 208
We consider the new divisor 258 and the new remainder 208,and apply the division lemma to get
258 = 208 x 1 + 50
We consider the new divisor 208 and the new remainder 50,and apply the division lemma to get
208 = 50 x 4 + 8
We consider the new divisor 50 and the new remainder 8,and apply the division lemma to get
50 = 8 x 6 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9396 and 6350 is 2
Notice that 2 = HCF(8,2) = HCF(50,8) = HCF(208,50) = HCF(258,208) = HCF(3046,258) = HCF(6350,3046) = HCF(9396,6350) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9396, 6350 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 9396, 6350?
Answer: HCF of 9396, 6350 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9396, 6350 using Euclid's Algorithm?
Answer: For arbitrary numbers 9396, 6350 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.