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 8247, 6776 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8247, 6776 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 8247, 6776 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 8247, 6776 is 1.
HCF(8247, 6776) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8247, 6776 is 1.
Step 1: Since 8247 > 6776, we apply the division lemma to 8247 and 6776, to get
8247 = 6776 x 1 + 1471
Step 2: Since the reminder 6776 ≠ 0, we apply division lemma to 1471 and 6776, to get
6776 = 1471 x 4 + 892
Step 3: We consider the new divisor 1471 and the new remainder 892, and apply the division lemma to get
1471 = 892 x 1 + 579
We consider the new divisor 892 and the new remainder 579,and apply the division lemma to get
892 = 579 x 1 + 313
We consider the new divisor 579 and the new remainder 313,and apply the division lemma to get
579 = 313 x 1 + 266
We consider the new divisor 313 and the new remainder 266,and apply the division lemma to get
313 = 266 x 1 + 47
We consider the new divisor 266 and the new remainder 47,and apply the division lemma to get
266 = 47 x 5 + 31
We consider the new divisor 47 and the new remainder 31,and apply the division lemma to get
47 = 31 x 1 + 16
We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get
31 = 16 x 1 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8247 and 6776 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(47,31) = HCF(266,47) = HCF(313,266) = HCF(579,313) = HCF(892,579) = HCF(1471,892) = HCF(6776,1471) = HCF(8247,6776) .
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 8247, 6776?
Answer: HCF of 8247, 6776 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8247, 6776 using Euclid's Algorithm?
Answer: For arbitrary numbers 8247, 6776 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.