Highest Common Factor of 974, 379 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 974, 379 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 974, 379 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 974, 379 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 974, 379 is 1.
HCF(974, 379) = 1
HCF of 974, 379 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 974, 379 is 1.
Highest Common Factor of 974,379 is 1
Step 1: Since 974 > 379, we apply the division lemma to 974 and 379, to get
974 = 379 x 2 + 216
Step 2: Since the reminder 379 ≠ 0, we apply division lemma to 216 and 379, to get
379 = 216 x 1 + 163
Step 3: We consider the new divisor 216 and the new remainder 163, and apply the division lemma to get
216 = 163 x 1 + 53
We consider the new divisor 163 and the new remainder 53,and apply the division lemma to get
163 = 53 x 3 + 4
We consider the new divisor 53 and the new remainder 4,and apply the division lemma to get
53 = 4 x 13 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 974 and 379 is 1
Notice that 1 = HCF(4,1) = HCF(53,4) = HCF(163,53) = HCF(216,163) = HCF(379,216) = HCF(974,379) .
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Frequently Asked Questions on HCF of 974, 379 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 974, 379?
Answer: HCF of 974, 379 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 974, 379 using Euclid's Algorithm?
Answer: For arbitrary numbers 974, 379 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
