Highest Common Factor of 444, 755 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 444, 755 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 444, 755 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 444, 755 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 444, 755 is 1.
HCF(444, 755) = 1
HCF of 444, 755 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 444, 755 is 1.
Highest Common Factor of 444,755 is 1
Step 1: Since 755 > 444, we apply the division lemma to 755 and 444, to get
755 = 444 x 1 + 311
Step 2: Since the reminder 444 ≠ 0, we apply division lemma to 311 and 444, to get
444 = 311 x 1 + 133
Step 3: We consider the new divisor 311 and the new remainder 133, and apply the division lemma to get
311 = 133 x 2 + 45
We consider the new divisor 133 and the new remainder 45,and apply the division lemma to get
133 = 45 x 2 + 43
We consider the new divisor 45 and the new remainder 43,and apply the division lemma to get
45 = 43 x 1 + 2
We consider the new divisor 43 and the new remainder 2,and apply the division lemma to get
43 = 2 x 21 + 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 444 and 755 is 1
Notice that 1 = HCF(2,1) = HCF(43,2) = HCF(45,43) = HCF(133,45) = HCF(311,133) = HCF(444,311) = HCF(755,444) .
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Frequently Asked Questions on HCF of 444, 755 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 444, 755?
Answer: HCF of 444, 755 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 444, 755 using Euclid's Algorithm?
Answer: For arbitrary numbers 444, 755 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.