Highest Common Factor of 8778, 3219 using Euclid's algorithm
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, 3219 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8778, 3219 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 8778, 3219 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, 3219 is 3.
HCF(8778, 3219) = 3
HCF of 8778, 3219 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8778, 3219 is 3.
Highest Common Factor of 8778,3219 is 3
Step 1: Since 8778 > 3219, we apply the division lemma to 8778 and 3219, to get
8778 = 3219 x 2 + 2340
Step 2: Since the reminder 3219 ≠ 0, we apply division lemma to 2340 and 3219, to get
3219 = 2340 x 1 + 879
Step 3: We consider the new divisor 2340 and the new remainder 879, and apply the division lemma to get
2340 = 879 x 2 + 582
We consider the new divisor 879 and the new remainder 582,and apply the division lemma to get
879 = 582 x 1 + 297
We consider the new divisor 582 and the new remainder 297,and apply the division lemma to get
582 = 297 x 1 + 285
We consider the new divisor 297 and the new remainder 285,and apply the division lemma to get
297 = 285 x 1 + 12
We consider the new divisor 285 and the new remainder 12,and apply the division lemma to get
285 = 12 x 23 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8778 and 3219 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(285,12) = HCF(297,285) = HCF(582,297) = HCF(879,582) = HCF(2340,879) = HCF(3219,2340) = HCF(8778,3219) .
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Frequently Asked Questions on HCF of 8778, 3219 using Euclid's Algorithm
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, 3219?
Answer: HCF of 8778, 3219 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8778, 3219 using Euclid's Algorithm?
Answer: For arbitrary numbers 8778, 3219 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.