Highest Common Factor of 252, 948, 597 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 252, 948, 597 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 252, 948, 597 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 252, 948, 597 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 252, 948, 597 is 3.
HCF(252, 948, 597) = 3
HCF of 252, 948, 597 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 252, 948, 597 is 3.
Highest Common Factor of 252,948,597 is 3
Step 1: Since 948 > 252, we apply the division lemma to 948 and 252, to get
948 = 252 x 3 + 192
Step 2: Since the reminder 252 ≠ 0, we apply division lemma to 192 and 252, to get
252 = 192 x 1 + 60
Step 3: We consider the new divisor 192 and the new remainder 60, and apply the division lemma to get
192 = 60 x 3 + 12
We consider the new divisor 60 and the new remainder 12, and apply the division lemma to get
60 = 12 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 252 and 948 is 12
Notice that 12 = HCF(60,12) = HCF(192,60) = HCF(252,192) = HCF(948,252) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 597 > 12, we apply the division lemma to 597 and 12, to get
597 = 12 x 49 + 9
Step 2: Since the reminder 12 ≠ 0, we apply division lemma to 9 and 12, to get
12 = 9 x 1 + 3
Step 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 12 and 597 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(597,12) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 252, 948, 597 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 252, 948, 597?
Answer: HCF of 252, 948, 597 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 252, 948, 597 using Euclid's Algorithm?
Answer: For arbitrary numbers 252, 948, 597 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.