Highest Common Factor of 9260, 3198 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 9260, 3198 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9260, 3198 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 9260, 3198 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 9260, 3198 is 2.
HCF(9260, 3198) = 2
HCF of 9260, 3198 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9260, 3198 is 2.
Highest Common Factor of 9260,3198 is 2
Step 1: Since 9260 > 3198, we apply the division lemma to 9260 and 3198, to get
9260 = 3198 x 2 + 2864
Step 2: Since the reminder 3198 ≠ 0, we apply division lemma to 2864 and 3198, to get
3198 = 2864 x 1 + 334
Step 3: We consider the new divisor 2864 and the new remainder 334, and apply the division lemma to get
2864 = 334 x 8 + 192
We consider the new divisor 334 and the new remainder 192,and apply the division lemma to get
334 = 192 x 1 + 142
We consider the new divisor 192 and the new remainder 142,and apply the division lemma to get
192 = 142 x 1 + 50
We consider the new divisor 142 and the new remainder 50,and apply the division lemma to get
142 = 50 x 2 + 42
We consider the new divisor 50 and the new remainder 42,and apply the division lemma to get
50 = 42 x 1 + 8
We consider the new divisor 42 and the new remainder 8,and apply the division lemma to get
42 = 8 x 5 + 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 9260 and 3198 is 2
Notice that 2 = HCF(8,2) = HCF(42,8) = HCF(50,42) = HCF(142,50) = HCF(192,142) = HCF(334,192) = HCF(2864,334) = HCF(3198,2864) = HCF(9260,3198) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9260, 3198 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 9260, 3198?
Answer: HCF of 9260, 3198 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9260, 3198 using Euclid's Algorithm?
Answer: For arbitrary numbers 9260, 3198 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.