Highest Common Factor of 8864, 3110 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 8864, 3110 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8864, 3110 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 8864, 3110 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 8864, 3110 is 2.
HCF(8864, 3110) = 2
HCF of 8864, 3110 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8864, 3110 is 2.
Highest Common Factor of 8864,3110 is 2
Step 1: Since 8864 > 3110, we apply the division lemma to 8864 and 3110, to get
8864 = 3110 x 2 + 2644
Step 2: Since the reminder 3110 ≠ 0, we apply division lemma to 2644 and 3110, to get
3110 = 2644 x 1 + 466
Step 3: We consider the new divisor 2644 and the new remainder 466, and apply the division lemma to get
2644 = 466 x 5 + 314
We consider the new divisor 466 and the new remainder 314,and apply the division lemma to get
466 = 314 x 1 + 152
We consider the new divisor 314 and the new remainder 152,and apply the division lemma to get
314 = 152 x 2 + 10
We consider the new divisor 152 and the new remainder 10,and apply the division lemma to get
152 = 10 x 15 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8864 and 3110 is 2
Notice that 2 = HCF(10,2) = HCF(152,10) = HCF(314,152) = HCF(466,314) = HCF(2644,466) = HCF(3110,2644) = HCF(8864,3110) .
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Frequently Asked Questions on HCF of 8864, 3110 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 8864, 3110?
Answer: HCF of 8864, 3110 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8864, 3110 using Euclid's Algorithm?
Answer: For arbitrary numbers 8864, 3110 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.