Highest Common Factor of 9436, 2740 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 9436, 2740 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9436, 2740 is 4 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 9436, 2740 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 9436, 2740 is 4.
HCF(9436, 2740) = 4
HCF of 9436, 2740 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9436, 2740 is 4.
Highest Common Factor of 9436,2740 is 4
Step 1: Since 9436 > 2740, we apply the division lemma to 9436 and 2740, to get
9436 = 2740 x 3 + 1216
Step 2: Since the reminder 2740 ≠ 0, we apply division lemma to 1216 and 2740, to get
2740 = 1216 x 2 + 308
Step 3: We consider the new divisor 1216 and the new remainder 308, and apply the division lemma to get
1216 = 308 x 3 + 292
We consider the new divisor 308 and the new remainder 292,and apply the division lemma to get
308 = 292 x 1 + 16
We consider the new divisor 292 and the new remainder 16,and apply the division lemma to get
292 = 16 x 18 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9436 and 2740 is 4
Notice that 4 = HCF(16,4) = HCF(292,16) = HCF(308,292) = HCF(1216,308) = HCF(2740,1216) = HCF(9436,2740) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9436, 2740 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 9436, 2740?
Answer: HCF of 9436, 2740 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9436, 2740 using Euclid's Algorithm?
Answer: For arbitrary numbers 9436, 2740 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.