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 1934, 6092 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1934, 6092 is 2 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 1934, 6092 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 1934, 6092 is 2.
HCF(1934, 6092) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1934, 6092 is 2.
Step 1: Since 6092 > 1934, we apply the division lemma to 6092 and 1934, to get
6092 = 1934 x 3 + 290
Step 2: Since the reminder 1934 ≠ 0, we apply division lemma to 290 and 1934, to get
1934 = 290 x 6 + 194
Step 3: We consider the new divisor 290 and the new remainder 194, and apply the division lemma to get
290 = 194 x 1 + 96
We consider the new divisor 194 and the new remainder 96,and apply the division lemma to get
194 = 96 x 2 + 2
We consider the new divisor 96 and the new remainder 2,and apply the division lemma to get
96 = 2 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1934 and 6092 is 2
Notice that 2 = HCF(96,2) = HCF(194,96) = HCF(290,194) = HCF(1934,290) = HCF(6092,1934) .
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 1934, 6092?
Answer: HCF of 1934, 6092 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1934, 6092 using Euclid's Algorithm?
Answer: For arbitrary numbers 1934, 6092 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.