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 648, 945 i.e. 27 the largest integer that leaves a remainder zero for all numbers.
HCF of 648, 945 is 27 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 648, 945 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 648, 945 is 27.
HCF(648, 945) = 27
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 648, 945 is 27.
Step 1: Since 945 > 648, we apply the division lemma to 945 and 648, to get
945 = 648 x 1 + 297
Step 2: Since the reminder 648 ≠ 0, we apply division lemma to 297 and 648, to get
648 = 297 x 2 + 54
Step 3: We consider the new divisor 297 and the new remainder 54, and apply the division lemma to get
297 = 54 x 5 + 27
We consider the new divisor 54 and the new remainder 27, and apply the division lemma to get
54 = 27 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 648 and 945 is 27
Notice that 27 = HCF(54,27) = HCF(297,54) = HCF(648,297) = HCF(945,648) .
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 648, 945?
Answer: HCF of 648, 945 is 27 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 648, 945 using Euclid's Algorithm?
Answer: For arbitrary numbers 648, 945 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.