Highest Common Factor of 7944, 1500 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 7944, 1500 i.e. 12 the largest integer that leaves a remainder zero for all numbers.
HCF of 7944, 1500 is 12 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 7944, 1500 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 7944, 1500 is 12.
HCF(7944, 1500) = 12
HCF of 7944, 1500 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7944, 1500 is 12.
Highest Common Factor of 7944,1500 is 12
Step 1: Since 7944 > 1500, we apply the division lemma to 7944 and 1500, to get
7944 = 1500 x 5 + 444
Step 2: Since the reminder 1500 ≠ 0, we apply division lemma to 444 and 1500, to get
1500 = 444 x 3 + 168
Step 3: We consider the new divisor 444 and the new remainder 168, and apply the division lemma to get
444 = 168 x 2 + 108
We consider the new divisor 168 and the new remainder 108,and apply the division lemma to get
168 = 108 x 1 + 60
We consider the new divisor 108 and the new remainder 60,and apply the division lemma to get
108 = 60 x 1 + 48
We consider the new divisor 60 and the new remainder 48,and apply the division lemma to get
60 = 48 x 1 + 12
We consider the new divisor 48 and the new remainder 12,and apply the division lemma to get
48 = 12 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 7944 and 1500 is 12
Notice that 12 = HCF(48,12) = HCF(60,48) = HCF(108,60) = HCF(168,108) = HCF(444,168) = HCF(1500,444) = HCF(7944,1500) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7944, 1500 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 7944, 1500?
Answer: HCF of 7944, 1500 is 12 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7944, 1500 using Euclid's Algorithm?
Answer: For arbitrary numbers 7944, 1500 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.