Highest Common Factor of 1379, 8064 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 1379, 8064 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 1379, 8064 is 7 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 1379, 8064 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 1379, 8064 is 7.
HCF(1379, 8064) = 7
HCF of 1379, 8064 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1379, 8064 is 7.
Highest Common Factor of 1379,8064 is 7
Step 1: Since 8064 > 1379, we apply the division lemma to 8064 and 1379, to get
8064 = 1379 x 5 + 1169
Step 2: Since the reminder 1379 ≠ 0, we apply division lemma to 1169 and 1379, to get
1379 = 1169 x 1 + 210
Step 3: We consider the new divisor 1169 and the new remainder 210, and apply the division lemma to get
1169 = 210 x 5 + 119
We consider the new divisor 210 and the new remainder 119,and apply the division lemma to get
210 = 119 x 1 + 91
We consider the new divisor 119 and the new remainder 91,and apply the division lemma to get
119 = 91 x 1 + 28
We consider the new divisor 91 and the new remainder 28,and apply the division lemma to get
91 = 28 x 3 + 7
We consider the new divisor 28 and the new remainder 7,and apply the division lemma to get
28 = 7 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 1379 and 8064 is 7
Notice that 7 = HCF(28,7) = HCF(91,28) = HCF(119,91) = HCF(210,119) = HCF(1169,210) = HCF(1379,1169) = HCF(8064,1379) .
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Frequently Asked Questions on HCF of 1379, 8064 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 1379, 8064?
Answer: HCF of 1379, 8064 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1379, 8064 using Euclid's Algorithm?
Answer: For arbitrary numbers 1379, 8064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.