Highest Common Factor of 444, 776, 553, 65 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, 776, 553, 65 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 444, 776, 553, 65 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, 776, 553, 65 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, 776, 553, 65 is 1.
HCF(444, 776, 553, 65) = 1
HCF of 444, 776, 553, 65 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, 776, 553, 65 is 1.
Highest Common Factor of 444,776,553,65 is 1
Step 1: Since 776 > 444, we apply the division lemma to 776 and 444, to get
776 = 444 x 1 + 332
Step 2: Since the reminder 444 ≠ 0, we apply division lemma to 332 and 444, to get
444 = 332 x 1 + 112
Step 3: We consider the new divisor 332 and the new remainder 112, and apply the division lemma to get
332 = 112 x 2 + 108
We consider the new divisor 112 and the new remainder 108,and apply the division lemma to get
112 = 108 x 1 + 4
We consider the new divisor 108 and the new remainder 4,and apply the division lemma to get
108 = 4 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 444 and 776 is 4
Notice that 4 = HCF(108,4) = HCF(112,108) = HCF(332,112) = HCF(444,332) = HCF(776,444) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 553 > 4, we apply the division lemma to 553 and 4, to get
553 = 4 x 138 + 1
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 553 is 1
Notice that 1 = HCF(4,1) = HCF(553,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 65 > 1, we apply the division lemma to 65 and 1, to get
65 = 1 x 65 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 65 is 1
Notice that 1 = HCF(65,1) .
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Frequently Asked Questions on HCF of 444, 776, 553, 65 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, 776, 553, 65?
Answer: HCF of 444, 776, 553, 65 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 444, 776, 553, 65 using Euclid's Algorithm?
Answer: For arbitrary numbers 444, 776, 553, 65 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.