Highest Common Factor of 9142, 2624 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 9142, 2624 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9142, 2624 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 9142, 2624 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 9142, 2624 is 2.
HCF(9142, 2624) = 2
HCF of 9142, 2624 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9142, 2624 is 2.
Highest Common Factor of 9142,2624 is 2
Step 1: Since 9142 > 2624, we apply the division lemma to 9142 and 2624, to get
9142 = 2624 x 3 + 1270
Step 2: Since the reminder 2624 ≠ 0, we apply division lemma to 1270 and 2624, to get
2624 = 1270 x 2 + 84
Step 3: We consider the new divisor 1270 and the new remainder 84, and apply the division lemma to get
1270 = 84 x 15 + 10
We consider the new divisor 84 and the new remainder 10,and apply the division lemma to get
84 = 10 x 8 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9142 and 2624 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(84,10) = HCF(1270,84) = HCF(2624,1270) = HCF(9142,2624) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9142, 2624 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 9142, 2624?
Answer: HCF of 9142, 2624 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9142, 2624 using Euclid's Algorithm?
Answer: For arbitrary numbers 9142, 2624 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.