Highest Common Factor of 6777, 3453 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 6777, 3453 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6777, 3453 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 6777, 3453 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 6777, 3453 is 3.
HCF(6777, 3453) = 3
HCF of 6777, 3453 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6777, 3453 is 3.
Highest Common Factor of 6777,3453 is 3
Step 1: Since 6777 > 3453, we apply the division lemma to 6777 and 3453, to get
6777 = 3453 x 1 + 3324
Step 2: Since the reminder 3453 ≠ 0, we apply division lemma to 3324 and 3453, to get
3453 = 3324 x 1 + 129
Step 3: We consider the new divisor 3324 and the new remainder 129, and apply the division lemma to get
3324 = 129 x 25 + 99
We consider the new divisor 129 and the new remainder 99,and apply the division lemma to get
129 = 99 x 1 + 30
We consider the new divisor 99 and the new remainder 30,and apply the division lemma to get
99 = 30 x 3 + 9
We consider the new divisor 30 and the new remainder 9,and apply the division lemma to get
30 = 9 x 3 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6777 and 3453 is 3
Notice that 3 = HCF(9,3) = HCF(30,9) = HCF(99,30) = HCF(129,99) = HCF(3324,129) = HCF(3453,3324) = HCF(6777,3453) .
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Frequently Asked Questions on HCF of 6777, 3453 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 6777, 3453?
Answer: HCF of 6777, 3453 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6777, 3453 using Euclid's Algorithm?
Answer: For arbitrary numbers 6777, 3453 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.