Highest Common Factor of 376, 660, 71, 125 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, 660, 71, 125 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 376, 660, 71, 125 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, 660, 71, 125 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, 660, 71, 125 is 1.
HCF(376, 660, 71, 125) = 1
HCF of 376, 660, 71, 125 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, 660, 71, 125 is 1.
Highest Common Factor of 376,660,71,125 is 1
Step 1: Since 660 > 376, we apply the division lemma to 660 and 376, to get
660 = 376 x 1 + 284
Step 2: Since the reminder 376 ≠ 0, we apply division lemma to 284 and 376, to get
376 = 284 x 1 + 92
Step 3: We consider the new divisor 284 and the new remainder 92, and apply the division lemma to get
284 = 92 x 3 + 8
We consider the new divisor 92 and the new remainder 8,and apply the division lemma to get
92 = 8 x 11 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 376 and 660 is 4
Notice that 4 = HCF(8,4) = HCF(92,8) = HCF(284,92) = HCF(376,284) = HCF(660,376) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 71 > 4, we apply the division lemma to 71 and 4, to get
71 = 4 x 17 + 3
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get
4 = 3 x 1 + 1
Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 71 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(71,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 125 > 1, we apply the division lemma to 125 and 1, to get
125 = 1 x 125 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 125 is 1
Notice that 1 = HCF(125,1) .
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Frequently Asked Questions on HCF of 376, 660, 71, 125 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, 660, 71, 125?
Answer: HCF of 376, 660, 71, 125 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 376, 660, 71, 125 using Euclid's Algorithm?
Answer: For arbitrary numbers 376, 660, 71, 125 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.