Highest Common Factor of 7077, 6480 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 7077, 6480 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7077, 6480 is 3 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 7077, 6480 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 7077, 6480 is 3.
HCF(7077, 6480) = 3
HCF of 7077, 6480 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7077, 6480 is 3.
Highest Common Factor of 7077,6480 is 3
Step 1: Since 7077 > 6480, we apply the division lemma to 7077 and 6480, to get
7077 = 6480 x 1 + 597
Step 2: Since the reminder 6480 ≠ 0, we apply division lemma to 597 and 6480, to get
6480 = 597 x 10 + 510
Step 3: We consider the new divisor 597 and the new remainder 510, and apply the division lemma to get
597 = 510 x 1 + 87
We consider the new divisor 510 and the new remainder 87,and apply the division lemma to get
510 = 87 x 5 + 75
We consider the new divisor 87 and the new remainder 75,and apply the division lemma to get
87 = 75 x 1 + 12
We consider the new divisor 75 and the new remainder 12,and apply the division lemma to get
75 = 12 x 6 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7077 and 6480 is 3
Notice that 3 = HCF(12,3) = HCF(75,12) = HCF(87,75) = HCF(510,87) = HCF(597,510) = HCF(6480,597) = HCF(7077,6480) .
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Frequently Asked Questions on HCF of 7077, 6480 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 7077, 6480?
Answer: HCF of 7077, 6480 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7077, 6480 using Euclid's Algorithm?
Answer: For arbitrary numbers 7077, 6480 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.