Highest Common Factor of 372, 627, 555, 99 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 372, 627, 555, 99 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 372, 627, 555, 99 is 3 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 372, 627, 555, 99 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 372, 627, 555, 99 is 3.
HCF(372, 627, 555, 99) = 3
HCF of 372, 627, 555, 99 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 372, 627, 555, 99 is 3.
Highest Common Factor of 372,627,555,99 is 3
Step 1: Since 627 > 372, we apply the division lemma to 627 and 372, to get
627 = 372 x 1 + 255
Step 2: Since the reminder 372 ≠ 0, we apply division lemma to 255 and 372, to get
372 = 255 x 1 + 117
Step 3: We consider the new divisor 255 and the new remainder 117, and apply the division lemma to get
255 = 117 x 2 + 21
We consider the new divisor 117 and the new remainder 21,and apply the division lemma to get
117 = 21 x 5 + 12
We consider the new divisor 21 and the new remainder 12,and apply the division lemma to get
21 = 12 x 1 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 372 and 627 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(21,12) = HCF(117,21) = HCF(255,117) = HCF(372,255) = HCF(627,372) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 555 > 3, we apply the division lemma to 555 and 3, to get
555 = 3 x 185 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 555 is 3
Notice that 3 = HCF(555,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 99 > 3, we apply the division lemma to 99 and 3, to get
99 = 3 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 99 is 3
Notice that 3 = HCF(99,3) .
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Frequently Asked Questions on HCF of 372, 627, 555, 99 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 372, 627, 555, 99?
Answer: HCF of 372, 627, 555, 99 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 372, 627, 555, 99 using Euclid's Algorithm?
Answer: For arbitrary numbers 372, 627, 555, 99 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.