Highest Common Factor of 741, 413, 373 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 741, 413, 373 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 741, 413, 373 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 741, 413, 373 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 741, 413, 373 is 1.
HCF(741, 413, 373) = 1
HCF of 741, 413, 373 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 741, 413, 373 is 1.
Highest Common Factor of 741,413,373 is 1
Step 1: Since 741 > 413, we apply the division lemma to 741 and 413, to get
741 = 413 x 1 + 328
Step 2: Since the reminder 413 ≠ 0, we apply division lemma to 328 and 413, to get
413 = 328 x 1 + 85
Step 3: We consider the new divisor 328 and the new remainder 85, and apply the division lemma to get
328 = 85 x 3 + 73
We consider the new divisor 85 and the new remainder 73,and apply the division lemma to get
85 = 73 x 1 + 12
We consider the new divisor 73 and the new remainder 12,and apply the division lemma to get
73 = 12 x 6 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 741 and 413 is 1
Notice that 1 = HCF(12,1) = HCF(73,12) = HCF(85,73) = HCF(328,85) = HCF(413,328) = HCF(741,413) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 373 > 1, we apply the division lemma to 373 and 1, to get
373 = 1 x 373 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 373 is 1
Notice that 1 = HCF(373,1) .
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Frequently Asked Questions on HCF of 741, 413, 373 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 741, 413, 373?
Answer: HCF of 741, 413, 373 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 741, 413, 373 using Euclid's Algorithm?
Answer: For arbitrary numbers 741, 413, 373 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.