Highest Common Factor of 3344, 7977 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 3344, 7977 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3344, 7977 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 3344, 7977 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 3344, 7977 is 1.
HCF(3344, 7977) = 1
HCF of 3344, 7977 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3344, 7977 is 1.
Highest Common Factor of 3344,7977 is 1
Step 1: Since 7977 > 3344, we apply the division lemma to 7977 and 3344, to get
7977 = 3344 x 2 + 1289
Step 2: Since the reminder 3344 ≠ 0, we apply division lemma to 1289 and 3344, to get
3344 = 1289 x 2 + 766
Step 3: We consider the new divisor 1289 and the new remainder 766, and apply the division lemma to get
1289 = 766 x 1 + 523
We consider the new divisor 766 and the new remainder 523,and apply the division lemma to get
766 = 523 x 1 + 243
We consider the new divisor 523 and the new remainder 243,and apply the division lemma to get
523 = 243 x 2 + 37
We consider the new divisor 243 and the new remainder 37,and apply the division lemma to get
243 = 37 x 6 + 21
We consider the new divisor 37 and the new remainder 21,and apply the division lemma to get
37 = 21 x 1 + 16
We consider the new divisor 21 and the new remainder 16,and apply the division lemma to get
21 = 16 x 1 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3344 and 7977 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(37,21) = HCF(243,37) = HCF(523,243) = HCF(766,523) = HCF(1289,766) = HCF(3344,1289) = HCF(7977,3344) .
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Frequently Asked Questions on HCF of 3344, 7977 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 3344, 7977?
Answer: HCF of 3344, 7977 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3344, 7977 using Euclid's Algorithm?
Answer: For arbitrary numbers 3344, 7977 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
