Highest Common Factor of 444, 676, 155, 318 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, 676, 155, 318 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 444, 676, 155, 318 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, 676, 155, 318 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, 676, 155, 318 is 1.
HCF(444, 676, 155, 318) = 1
HCF of 444, 676, 155, 318 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, 676, 155, 318 is 1.
Highest Common Factor of 444,676,155,318 is 1
Step 1: Since 676 > 444, we apply the division lemma to 676 and 444, to get
676 = 444 x 1 + 232
Step 2: Since the reminder 444 ≠ 0, we apply division lemma to 232 and 444, to get
444 = 232 x 1 + 212
Step 3: We consider the new divisor 232 and the new remainder 212, and apply the division lemma to get
232 = 212 x 1 + 20
We consider the new divisor 212 and the new remainder 20,and apply the division lemma to get
212 = 20 x 10 + 12
We consider the new divisor 20 and the new remainder 12,and apply the division lemma to get
20 = 12 x 1 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 444 and 676 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(20,12) = HCF(212,20) = HCF(232,212) = HCF(444,232) = HCF(676,444) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 155 > 4, we apply the division lemma to 155 and 4, to get
155 = 4 x 38 + 3
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get
4 = 3 x 1 + 1
Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 155 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(155,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 318 > 1, we apply the division lemma to 318 and 1, to get
318 = 1 x 318 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 318 is 1
Notice that 1 = HCF(318,1) .
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Frequently Asked Questions on HCF of 444, 676, 155, 318 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, 676, 155, 318?
Answer: HCF of 444, 676, 155, 318 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 444, 676, 155, 318 using Euclid's Algorithm?
Answer: For arbitrary numbers 444, 676, 155, 318 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
