Highest Common Factor of 379, 674 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 379, 674 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 379, 674 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 379, 674 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 379, 674 is 1.
HCF(379, 674) = 1
HCF of 379, 674 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 379, 674 is 1.
Highest Common Factor of 379,674 is 1
Step 1: Since 674 > 379, we apply the division lemma to 674 and 379, to get
674 = 379 x 1 + 295
Step 2: Since the reminder 379 ≠ 0, we apply division lemma to 295 and 379, to get
379 = 295 x 1 + 84
Step 3: We consider the new divisor 295 and the new remainder 84, and apply the division lemma to get
295 = 84 x 3 + 43
We consider the new divisor 84 and the new remainder 43,and apply the division lemma to get
84 = 43 x 1 + 41
We consider the new divisor 43 and the new remainder 41,and apply the division lemma to get
43 = 41 x 1 + 2
We consider the new divisor 41 and the new remainder 2,and apply the division lemma to get
41 = 2 x 20 + 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 379 and 674 is 1
Notice that 1 = HCF(2,1) = HCF(41,2) = HCF(43,41) = HCF(84,43) = HCF(295,84) = HCF(379,295) = HCF(674,379) .
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Frequently Asked Questions on HCF of 379, 674 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 379, 674?
Answer: HCF of 379, 674 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 379, 674 using Euclid's Algorithm?
Answer: For arbitrary numbers 379, 674 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.