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 6315, 1497 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6315, 1497 is 3 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 6315, 1497 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 6315, 1497 is 3.
HCF(6315, 1497) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6315, 1497 is 3.
Step 1: Since 6315 > 1497, we apply the division lemma to 6315 and 1497, to get
6315 = 1497 x 4 + 327
Step 2: Since the reminder 1497 ≠ 0, we apply division lemma to 327 and 1497, to get
1497 = 327 x 4 + 189
Step 3: We consider the new divisor 327 and the new remainder 189, and apply the division lemma to get
327 = 189 x 1 + 138
We consider the new divisor 189 and the new remainder 138,and apply the division lemma to get
189 = 138 x 1 + 51
We consider the new divisor 138 and the new remainder 51,and apply the division lemma to get
138 = 51 x 2 + 36
We consider the new divisor 51 and the new remainder 36,and apply the division lemma to get
51 = 36 x 1 + 15
We consider the new divisor 36 and the new remainder 15,and apply the division lemma to get
36 = 15 x 2 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6315 and 1497 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(36,15) = HCF(51,36) = HCF(138,51) = HCF(189,138) = HCF(327,189) = HCF(1497,327) = HCF(6315,1497) .
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 6315, 1497?
Answer: HCF of 6315, 1497 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6315, 1497 using Euclid's Algorithm?
Answer: For arbitrary numbers 6315, 1497 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.