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 270, 50925 i.e. 15 the largest integer that leaves a remainder zero for all numbers.
HCF of 270, 50925 is 15 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 270, 50925 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 270, 50925 is 15.
HCF(270, 50925) = 15
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 270, 50925 is 15.
Step 1: Since 50925 > 270, we apply the division lemma to 50925 and 270, to get
50925 = 270 x 188 + 165
Step 2: Since the reminder 270 ≠ 0, we apply division lemma to 165 and 270, to get
270 = 165 x 1 + 105
Step 3: We consider the new divisor 165 and the new remainder 105, and apply the division lemma to get
165 = 105 x 1 + 60
We consider the new divisor 105 and the new remainder 60,and apply the division lemma to get
105 = 60 x 1 + 45
We consider the new divisor 60 and the new remainder 45,and apply the division lemma to get
60 = 45 x 1 + 15
We consider the new divisor 45 and the new remainder 15,and apply the division lemma to get
45 = 15 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 270 and 50925 is 15
Notice that 15 = HCF(45,15) = HCF(60,45) = HCF(105,60) = HCF(165,105) = HCF(270,165) = HCF(50925,270) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 270, 50925?
Answer: HCF of 270, 50925 is 15 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 270, 50925 using Euclid's Algorithm?
Answer: For arbitrary numbers 270, 50925 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.