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 1993, 6925 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1993, 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 1993, 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 1993, 6925 is 1.
HCF(1993, 6925) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1993, 6925 is 1.
Step 1: Since 6925 > 1993, we apply the division lemma to 6925 and 1993, to get
6925 = 1993 x 3 + 946
Step 2: Since the reminder 1993 ≠ 0, we apply division lemma to 946 and 1993, to get
1993 = 946 x 2 + 101
Step 3: We consider the new divisor 946 and the new remainder 101, and apply the division lemma to get
946 = 101 x 9 + 37
We consider the new divisor 101 and the new remainder 37,and apply the division lemma to get
101 = 37 x 2 + 27
We consider the new divisor 37 and the new remainder 27,and apply the division lemma to get
37 = 27 x 1 + 10
We consider the new divisor 27 and the new remainder 10,and apply the division lemma to get
27 = 10 x 2 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1993 and 6925 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(27,10) = HCF(37,27) = HCF(101,37) = HCF(946,101) = HCF(1993,946) = HCF(6925,1993) .
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 1993, 6925?
Answer: HCF of 1993, 6925 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1993, 6925 using Euclid's Algorithm?
Answer: For arbitrary numbers 1993, 6925 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.