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 7544, 9105 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7544, 9105 is 1 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 7544, 9105 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 7544, 9105 is 1.
HCF(7544, 9105) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7544, 9105 is 1.
Step 1: Since 9105 > 7544, we apply the division lemma to 9105 and 7544, to get
9105 = 7544 x 1 + 1561
Step 2: Since the reminder 7544 ≠ 0, we apply division lemma to 1561 and 7544, to get
7544 = 1561 x 4 + 1300
Step 3: We consider the new divisor 1561 and the new remainder 1300, and apply the division lemma to get
1561 = 1300 x 1 + 261
We consider the new divisor 1300 and the new remainder 261,and apply the division lemma to get
1300 = 261 x 4 + 256
We consider the new divisor 261 and the new remainder 256,and apply the division lemma to get
261 = 256 x 1 + 5
We consider the new divisor 256 and the new remainder 5,and apply the division lemma to get
256 = 5 x 51 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7544 and 9105 is 1
Notice that 1 = HCF(5,1) = HCF(256,5) = HCF(261,256) = HCF(1300,261) = HCF(1561,1300) = HCF(7544,1561) = HCF(9105,7544) .
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 7544, 9105?
Answer: HCF of 7544, 9105 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7544, 9105 using Euclid's Algorithm?
Answer: For arbitrary numbers 7544, 9105 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.