Highest Common Factor of 2519, 7010 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 2519, 7010 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2519, 7010 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 2519, 7010 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 2519, 7010 is 1.
HCF(2519, 7010) = 1
HCF of 2519, 7010 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2519, 7010 is 1.
Highest Common Factor of 2519,7010 is 1
Step 1: Since 7010 > 2519, we apply the division lemma to 7010 and 2519, to get
7010 = 2519 x 2 + 1972
Step 2: Since the reminder 2519 ≠ 0, we apply division lemma to 1972 and 2519, to get
2519 = 1972 x 1 + 547
Step 3: We consider the new divisor 1972 and the new remainder 547, and apply the division lemma to get
1972 = 547 x 3 + 331
We consider the new divisor 547 and the new remainder 331,and apply the division lemma to get
547 = 331 x 1 + 216
We consider the new divisor 331 and the new remainder 216,and apply the division lemma to get
331 = 216 x 1 + 115
We consider the new divisor 216 and the new remainder 115,and apply the division lemma to get
216 = 115 x 1 + 101
We consider the new divisor 115 and the new remainder 101,and apply the division lemma to get
115 = 101 x 1 + 14
We consider the new divisor 101 and the new remainder 14,and apply the division lemma to get
101 = 14 x 7 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 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 2519 and 7010 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(101,14) = HCF(115,101) = HCF(216,115) = HCF(331,216) = HCF(547,331) = HCF(1972,547) = HCF(2519,1972) = HCF(7010,2519) .
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Frequently Asked Questions on HCF of 2519, 7010 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 2519, 7010?
Answer: HCF of 2519, 7010 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2519, 7010 using Euclid's Algorithm?
Answer: For arbitrary numbers 2519, 7010 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.