Highest Common Factor of 945, 675 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 945, 675 i.e. 135 the largest integer that leaves a remainder zero for all numbers.
HCF of 945, 675 is 135 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 945, 675 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 945, 675 is 135.
HCF(945, 675) = 135
HCF of 945, 675 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 945, 675 is 135.
Highest Common Factor of 945,675 is 135
Step 1: Since 945 > 675, we apply the division lemma to 945 and 675, to get
945 = 675 x 1 + 270
Step 2: Since the reminder 675 ≠ 0, we apply division lemma to 270 and 675, to get
675 = 270 x 2 + 135
Step 3: We consider the new divisor 270 and the new remainder 135, and apply the division lemma to get
270 = 135 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 135, the HCF of 945 and 675 is 135
Notice that 135 = HCF(270,135) = HCF(675,270) = HCF(945,675) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 945, 675 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 945, 675?
Answer: HCF of 945, 675 is 135 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 945, 675 using Euclid's Algorithm?
Answer: For arbitrary numbers 945, 675 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.