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 3130, 5436 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3130, 5436 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 3130, 5436 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 3130, 5436 is 2.
HCF(3130, 5436) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3130, 5436 is 2.
Step 1: Since 5436 > 3130, we apply the division lemma to 5436 and 3130, to get
5436 = 3130 x 1 + 2306
Step 2: Since the reminder 3130 ≠ 0, we apply division lemma to 2306 and 3130, to get
3130 = 2306 x 1 + 824
Step 3: We consider the new divisor 2306 and the new remainder 824, and apply the division lemma to get
2306 = 824 x 2 + 658
We consider the new divisor 824 and the new remainder 658,and apply the division lemma to get
824 = 658 x 1 + 166
We consider the new divisor 658 and the new remainder 166,and apply the division lemma to get
658 = 166 x 3 + 160
We consider the new divisor 166 and the new remainder 160,and apply the division lemma to get
166 = 160 x 1 + 6
We consider the new divisor 160 and the new remainder 6,and apply the division lemma to get
160 = 6 x 26 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 3130 and 5436 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(160,6) = HCF(166,160) = HCF(658,166) = HCF(824,658) = HCF(2306,824) = HCF(3130,2306) = HCF(5436,3130) .
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 3130, 5436?
Answer: HCF of 3130, 5436 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3130, 5436 using Euclid's Algorithm?
Answer: For arbitrary numbers 3130, 5436 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.