Highest Common Factor of 677, 379, 851 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 677, 379, 851 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 677, 379, 851 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 677, 379, 851 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 677, 379, 851 is 1.
HCF(677, 379, 851) = 1
HCF of 677, 379, 851 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 677, 379, 851 is 1.
Highest Common Factor of 677,379,851 is 1
Step 1: Since 677 > 379, we apply the division lemma to 677 and 379, to get
677 = 379 x 1 + 298
Step 2: Since the reminder 379 ≠ 0, we apply division lemma to 298 and 379, to get
379 = 298 x 1 + 81
Step 3: We consider the new divisor 298 and the new remainder 81, and apply the division lemma to get
298 = 81 x 3 + 55
We consider the new divisor 81 and the new remainder 55,and apply the division lemma to get
81 = 55 x 1 + 26
We consider the new divisor 55 and the new remainder 26,and apply the division lemma to get
55 = 26 x 2 + 3
We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get
26 = 3 x 8 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 677 and 379 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(55,26) = HCF(81,55) = HCF(298,81) = HCF(379,298) = HCF(677,379) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 851 > 1, we apply the division lemma to 851 and 1, to get
851 = 1 x 851 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 851 is 1
Notice that 1 = HCF(851,1) .
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Frequently Asked Questions on HCF of 677, 379, 851 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 677, 379, 851?
Answer: HCF of 677, 379, 851 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 677, 379, 851 using Euclid's Algorithm?
Answer: For arbitrary numbers 677, 379, 851 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.