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 5146, 6925 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5146, 6925 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 5146, 6925 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 5146, 6925 is 1.
HCF(5146, 6925) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5146, 6925 is 1.
Step 1: Since 6925 > 5146, we apply the division lemma to 6925 and 5146, to get
6925 = 5146 x 1 + 1779
Step 2: Since the reminder 5146 ≠ 0, we apply division lemma to 1779 and 5146, to get
5146 = 1779 x 2 + 1588
Step 3: We consider the new divisor 1779 and the new remainder 1588, and apply the division lemma to get
1779 = 1588 x 1 + 191
We consider the new divisor 1588 and the new remainder 191,and apply the division lemma to get
1588 = 191 x 8 + 60
We consider the new divisor 191 and the new remainder 60,and apply the division lemma to get
191 = 60 x 3 + 11
We consider the new divisor 60 and the new remainder 11,and apply the division lemma to get
60 = 11 x 5 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 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 5146 and 6925 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(60,11) = HCF(191,60) = HCF(1588,191) = HCF(1779,1588) = HCF(5146,1779) = HCF(6925,5146) .
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 5146, 6925?
Answer: HCF of 5146, 6925 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5146, 6925 using Euclid's Algorithm?
Answer: For arbitrary numbers 5146, 6925 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.