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 8778, 6491 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8778, 6491 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 8778, 6491 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 8778, 6491 is 1.
HCF(8778, 6491) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8778, 6491 is 1.
Step 1: Since 8778 > 6491, we apply the division lemma to 8778 and 6491, to get
8778 = 6491 x 1 + 2287
Step 2: Since the reminder 6491 ≠ 0, we apply division lemma to 2287 and 6491, to get
6491 = 2287 x 2 + 1917
Step 3: We consider the new divisor 2287 and the new remainder 1917, and apply the division lemma to get
2287 = 1917 x 1 + 370
We consider the new divisor 1917 and the new remainder 370,and apply the division lemma to get
1917 = 370 x 5 + 67
We consider the new divisor 370 and the new remainder 67,and apply the division lemma to get
370 = 67 x 5 + 35
We consider the new divisor 67 and the new remainder 35,and apply the division lemma to get
67 = 35 x 1 + 32
We consider the new divisor 35 and the new remainder 32,and apply the division lemma to get
35 = 32 x 1 + 3
We consider the new divisor 32 and the new remainder 3,and apply the division lemma to get
32 = 3 x 10 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8778 and 6491 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(32,3) = HCF(35,32) = HCF(67,35) = HCF(370,67) = HCF(1917,370) = HCF(2287,1917) = HCF(6491,2287) = HCF(8778,6491) .
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 8778, 6491?
Answer: HCF of 8778, 6491 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8778, 6491 using Euclid's Algorithm?
Answer: For arbitrary numbers 8778, 6491 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.