Highest Common Factor of 7078, 9519 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 7078, 9519 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7078, 9519 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 7078, 9519 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 7078, 9519 is 1.
HCF(7078, 9519) = 1
HCF of 7078, 9519 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7078, 9519 is 1.
Highest Common Factor of 7078,9519 is 1
Step 1: Since 9519 > 7078, we apply the division lemma to 9519 and 7078, to get
9519 = 7078 x 1 + 2441
Step 2: Since the reminder 7078 ≠ 0, we apply division lemma to 2441 and 7078, to get
7078 = 2441 x 2 + 2196
Step 3: We consider the new divisor 2441 and the new remainder 2196, and apply the division lemma to get
2441 = 2196 x 1 + 245
We consider the new divisor 2196 and the new remainder 245,and apply the division lemma to get
2196 = 245 x 8 + 236
We consider the new divisor 245 and the new remainder 236,and apply the division lemma to get
245 = 236 x 1 + 9
We consider the new divisor 236 and the new remainder 9,and apply the division lemma to get
236 = 9 x 26 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 7078 and 9519 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(236,9) = HCF(245,236) = HCF(2196,245) = HCF(2441,2196) = HCF(7078,2441) = HCF(9519,7078) .
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Frequently Asked Questions on HCF of 7078, 9519 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 7078, 9519?
Answer: HCF of 7078, 9519 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7078, 9519 using Euclid's Algorithm?
Answer: For arbitrary numbers 7078, 9519 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.