Highest Common Factor of 2915, 7119 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 2915, 7119 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2915, 7119 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 2915, 7119 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 2915, 7119 is 1.
HCF(2915, 7119) = 1
HCF of 2915, 7119 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2915, 7119 is 1.
Highest Common Factor of 2915,7119 is 1
Step 1: Since 7119 > 2915, we apply the division lemma to 7119 and 2915, to get
7119 = 2915 x 2 + 1289
Step 2: Since the reminder 2915 ≠ 0, we apply division lemma to 1289 and 2915, to get
2915 = 1289 x 2 + 337
Step 3: We consider the new divisor 1289 and the new remainder 337, and apply the division lemma to get
1289 = 337 x 3 + 278
We consider the new divisor 337 and the new remainder 278,and apply the division lemma to get
337 = 278 x 1 + 59
We consider the new divisor 278 and the new remainder 59,and apply the division lemma to get
278 = 59 x 4 + 42
We consider the new divisor 59 and the new remainder 42,and apply the division lemma to get
59 = 42 x 1 + 17
We consider the new divisor 42 and the new remainder 17,and apply the division lemma to get
42 = 17 x 2 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2915 and 7119 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(42,17) = HCF(59,42) = HCF(278,59) = HCF(337,278) = HCF(1289,337) = HCF(2915,1289) = HCF(7119,2915) .
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Frequently Asked Questions on HCF of 2915, 7119 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 2915, 7119?
Answer: HCF of 2915, 7119 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2915, 7119 using Euclid's Algorithm?
Answer: For arbitrary numbers 2915, 7119 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
