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 7054, 9315 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7054, 9315 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 7054, 9315 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 7054, 9315 is 1.
HCF(7054, 9315) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7054, 9315 is 1.
Step 1: Since 9315 > 7054, we apply the division lemma to 9315 and 7054, to get
9315 = 7054 x 1 + 2261
Step 2: Since the reminder 7054 ≠ 0, we apply division lemma to 2261 and 7054, to get
7054 = 2261 x 3 + 271
Step 3: We consider the new divisor 2261 and the new remainder 271, and apply the division lemma to get
2261 = 271 x 8 + 93
We consider the new divisor 271 and the new remainder 93,and apply the division lemma to get
271 = 93 x 2 + 85
We consider the new divisor 93 and the new remainder 85,and apply the division lemma to get
93 = 85 x 1 + 8
We consider the new divisor 85 and the new remainder 8,and apply the division lemma to get
85 = 8 x 10 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7054 and 9315 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(85,8) = HCF(93,85) = HCF(271,93) = HCF(2261,271) = HCF(7054,2261) = HCF(9315,7054) .
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 7054, 9315?
Answer: HCF of 7054, 9315 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7054, 9315 using Euclid's Algorithm?
Answer: For arbitrary numbers 7054, 9315 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.