Highest Common Factor of 627, 825, 924 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 627, 825, 924 i.e. 33 the largest integer that leaves a remainder zero for all numbers.
HCF of 627, 825, 924 is 33 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 627, 825, 924 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 627, 825, 924 is 33.
HCF(627, 825, 924) = 33
HCF of 627, 825, 924 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 627, 825, 924 is 33.
Highest Common Factor of 627,825,924 is 33
Step 1: Since 825 > 627, we apply the division lemma to 825 and 627, to get
825 = 627 x 1 + 198
Step 2: Since the reminder 627 ≠ 0, we apply division lemma to 198 and 627, to get
627 = 198 x 3 + 33
Step 3: We consider the new divisor 198 and the new remainder 33, and apply the division lemma to get
198 = 33 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 33, the HCF of 627 and 825 is 33
Notice that 33 = HCF(198,33) = HCF(627,198) = HCF(825,627) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 924 > 33, we apply the division lemma to 924 and 33, to get
924 = 33 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 33, the HCF of 33 and 924 is 33
Notice that 33 = HCF(924,33) .
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Frequently Asked Questions on HCF of 627, 825, 924 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 627, 825, 924?
Answer: HCF of 627, 825, 924 is 33 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 627, 825, 924 using Euclid's Algorithm?
Answer: For arbitrary numbers 627, 825, 924 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
