Highest Common Factor of 7013, 925 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 7013, 925 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7013, 925 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 7013, 925 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 7013, 925 is 1.
HCF(7013, 925) = 1
HCF of 7013, 925 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7013, 925 is 1.
Highest Common Factor of 7013,925 is 1
Step 1: Since 7013 > 925, we apply the division lemma to 7013 and 925, to get
7013 = 925 x 7 + 538
Step 2: Since the reminder 925 ≠ 0, we apply division lemma to 538 and 925, to get
925 = 538 x 1 + 387
Step 3: We consider the new divisor 538 and the new remainder 387, and apply the division lemma to get
538 = 387 x 1 + 151
We consider the new divisor 387 and the new remainder 151,and apply the division lemma to get
387 = 151 x 2 + 85
We consider the new divisor 151 and the new remainder 85,and apply the division lemma to get
151 = 85 x 1 + 66
We consider the new divisor 85 and the new remainder 66,and apply the division lemma to get
85 = 66 x 1 + 19
We consider the new divisor 66 and the new remainder 19,and apply the division lemma to get
66 = 19 x 3 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7013 and 925 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(66,19) = HCF(85,66) = HCF(151,85) = HCF(387,151) = HCF(538,387) = HCF(925,538) = HCF(7013,925) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7013, 925 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 7013, 925?
Answer: HCF of 7013, 925 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7013, 925 using Euclid's Algorithm?
Answer: For arbitrary numbers 7013, 925 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.