Highest Common Factor of 6515, 7802 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 6515, 7802 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6515, 7802 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 6515, 7802 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 6515, 7802 is 1.
HCF(6515, 7802) = 1
HCF of 6515, 7802 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6515, 7802 is 1.
Highest Common Factor of 6515,7802 is 1
Step 1: Since 7802 > 6515, we apply the division lemma to 7802 and 6515, to get
7802 = 6515 x 1 + 1287
Step 2: Since the reminder 6515 ≠ 0, we apply division lemma to 1287 and 6515, to get
6515 = 1287 x 5 + 80
Step 3: We consider the new divisor 1287 and the new remainder 80, and apply the division lemma to get
1287 = 80 x 16 + 7
We consider the new divisor 80 and the new remainder 7,and apply the division lemma to get
80 = 7 x 11 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6515 and 7802 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(80,7) = HCF(1287,80) = HCF(6515,1287) = HCF(7802,6515) .
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Frequently Asked Questions on HCF of 6515, 7802 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 6515, 7802?
Answer: HCF of 6515, 7802 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6515, 7802 using Euclid's Algorithm?
Answer: For arbitrary numbers 6515, 7802 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.