Highest Common Factor of 2506, 8830 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 2506, 8830 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2506, 8830 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 2506, 8830 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 2506, 8830 is 2.
HCF(2506, 8830) = 2
HCF of 2506, 8830 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2506, 8830 is 2.
Highest Common Factor of 2506,8830 is 2
Step 1: Since 8830 > 2506, we apply the division lemma to 8830 and 2506, to get
8830 = 2506 x 3 + 1312
Step 2: Since the reminder 2506 ≠ 0, we apply division lemma to 1312 and 2506, to get
2506 = 1312 x 1 + 1194
Step 3: We consider the new divisor 1312 and the new remainder 1194, and apply the division lemma to get
1312 = 1194 x 1 + 118
We consider the new divisor 1194 and the new remainder 118,and apply the division lemma to get
1194 = 118 x 10 + 14
We consider the new divisor 118 and the new remainder 14,and apply the division lemma to get
118 = 14 x 8 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2506 and 8830 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(118,14) = HCF(1194,118) = HCF(1312,1194) = HCF(2506,1312) = HCF(8830,2506) .
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Frequently Asked Questions on HCF of 2506, 8830 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 2506, 8830?
Answer: HCF of 2506, 8830 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2506, 8830 using Euclid's Algorithm?
Answer: For arbitrary numbers 2506, 8830 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.