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 6270, 7036 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6270, 7036 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 6270, 7036 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 6270, 7036 is 2.
HCF(6270, 7036) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6270, 7036 is 2.
Step 1: Since 7036 > 6270, we apply the division lemma to 7036 and 6270, to get
7036 = 6270 x 1 + 766
Step 2: Since the reminder 6270 ≠ 0, we apply division lemma to 766 and 6270, to get
6270 = 766 x 8 + 142
Step 3: We consider the new divisor 766 and the new remainder 142, and apply the division lemma to get
766 = 142 x 5 + 56
We consider the new divisor 142 and the new remainder 56,and apply the division lemma to get
142 = 56 x 2 + 30
We consider the new divisor 56 and the new remainder 30,and apply the division lemma to get
56 = 30 x 1 + 26
We consider the new divisor 30 and the new remainder 26,and apply the division lemma to get
30 = 26 x 1 + 4
We consider the new divisor 26 and the new remainder 4,and apply the division lemma to get
26 = 4 x 6 + 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 6270 and 7036 is 2
Notice that 2 = HCF(4,2) = HCF(26,4) = HCF(30,26) = HCF(56,30) = HCF(142,56) = HCF(766,142) = HCF(6270,766) = HCF(7036,6270) .
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 6270, 7036?
Answer: HCF of 6270, 7036 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6270, 7036 using Euclid's Algorithm?
Answer: For arbitrary numbers 6270, 7036 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.