Highest Common Factor of 741, 377, 755, 638 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, 377, 755, 638 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 741, 377, 755, 638 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, 377, 755, 638 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, 377, 755, 638 is 1.
HCF(741, 377, 755, 638) = 1
HCF of 741, 377, 755, 638 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, 377, 755, 638 is 1.
Highest Common Factor of 741,377,755,638 is 1
Step 1: Since 741 > 377, we apply the division lemma to 741 and 377, to get
741 = 377 x 1 + 364
Step 2: Since the reminder 377 ≠ 0, we apply division lemma to 364 and 377, to get
377 = 364 x 1 + 13
Step 3: We consider the new divisor 364 and the new remainder 13, and apply the division lemma to get
364 = 13 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 741 and 377 is 13
Notice that 13 = HCF(364,13) = HCF(377,364) = HCF(741,377) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 755 > 13, we apply the division lemma to 755 and 13, to get
755 = 13 x 58 + 1
Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 1 and 13, to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 13 and 755 is 1
Notice that 1 = HCF(13,1) = HCF(755,13) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 638 > 1, we apply the division lemma to 638 and 1, to get
638 = 1 x 638 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 638 is 1
Notice that 1 = HCF(638,1) .
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Frequently Asked Questions on HCF of 741, 377, 755, 638 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, 377, 755, 638?
Answer: HCF of 741, 377, 755, 638 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 741, 377, 755, 638 using Euclid's Algorithm?
Answer: For arbitrary numbers 741, 377, 755, 638 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.