Highest Common Factor of 376, 611, 374 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 376, 611, 374 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 376, 611, 374 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 376, 611, 374 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 376, 611, 374 is 1.
HCF(376, 611, 374) = 1
HCF of 376, 611, 374 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 376, 611, 374 is 1.
Highest Common Factor of 376,611,374 is 1
Step 1: Since 611 > 376, we apply the division lemma to 611 and 376, to get
611 = 376 x 1 + 235
Step 2: Since the reminder 376 ≠ 0, we apply division lemma to 235 and 376, to get
376 = 235 x 1 + 141
Step 3: We consider the new divisor 235 and the new remainder 141, and apply the division lemma to get
235 = 141 x 1 + 94
We consider the new divisor 141 and the new remainder 94,and apply the division lemma to get
141 = 94 x 1 + 47
We consider the new divisor 94 and the new remainder 47,and apply the division lemma to get
94 = 47 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 47, the HCF of 376 and 611 is 47
Notice that 47 = HCF(94,47) = HCF(141,94) = HCF(235,141) = HCF(376,235) = HCF(611,376) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 374 > 47, we apply the division lemma to 374 and 47, to get
374 = 47 x 7 + 45
Step 2: Since the reminder 47 ≠ 0, we apply division lemma to 45 and 47, to get
47 = 45 x 1 + 2
Step 3: We consider the new divisor 45 and the new remainder 2, and apply the division lemma to get
45 = 2 x 22 + 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 47 and 374 is 1
Notice that 1 = HCF(2,1) = HCF(45,2) = HCF(47,45) = HCF(374,47) .
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Frequently Asked Questions on HCF of 376, 611, 374 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 376, 611, 374?
Answer: HCF of 376, 611, 374 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 376, 611, 374 using Euclid's Algorithm?
Answer: For arbitrary numbers 376, 611, 374 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.