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, 463 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3130, 463 is 1 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, 463 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, 463 is 1.
HCF(3130, 463) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3130, 463 is 1.
Step 1: Since 3130 > 463, we apply the division lemma to 3130 and 463, to get
3130 = 463 x 6 + 352
Step 2: Since the reminder 463 ≠ 0, we apply division lemma to 352 and 463, to get
463 = 352 x 1 + 111
Step 3: We consider the new divisor 352 and the new remainder 111, and apply the division lemma to get
352 = 111 x 3 + 19
We consider the new divisor 111 and the new remainder 19,and apply the division lemma to get
111 = 19 x 5 + 16
We consider the new divisor 19 and the new remainder 16,and apply the division lemma to get
19 = 16 x 1 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3130 and 463 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(19,16) = HCF(111,19) = HCF(352,111) = HCF(463,352) = HCF(3130,463) .
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, 463?
Answer: HCF of 3130, 463 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3130, 463 using Euclid's Algorithm?
Answer: For arbitrary numbers 3130, 463 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.