Highest Common Factor of 755, 604, 614 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 755, 604, 614 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 755, 604, 614 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 755, 604, 614 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 755, 604, 614 is 1.
HCF(755, 604, 614) = 1
HCF of 755, 604, 614 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 755, 604, 614 is 1.
Highest Common Factor of 755,604,614 is 1
Step 1: Since 755 > 604, we apply the division lemma to 755 and 604, to get
755 = 604 x 1 + 151
Step 2: Since the reminder 604 ≠ 0, we apply division lemma to 151 and 604, to get
604 = 151 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 151, the HCF of 755 and 604 is 151
Notice that 151 = HCF(604,151) = HCF(755,604) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 614 > 151, we apply the division lemma to 614 and 151, to get
614 = 151 x 4 + 10
Step 2: Since the reminder 151 ≠ 0, we apply division lemma to 10 and 151, to get
151 = 10 x 15 + 1
Step 3: We consider the new divisor 10 and the new remainder 1, and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 151 and 614 is 1
Notice that 1 = HCF(10,1) = HCF(151,10) = HCF(614,151) .
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Frequently Asked Questions on HCF of 755, 604, 614 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 755, 604, 614?
Answer: HCF of 755, 604, 614 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 755, 604, 614 using Euclid's Algorithm?
Answer: For arbitrary numbers 755, 604, 614 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.