Highest Common Factor of 1194, 6928 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 1194, 6928 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1194, 6928 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 1194, 6928 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 1194, 6928 is 2.
HCF(1194, 6928) = 2
HCF of 1194, 6928 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1194, 6928 is 2.
Highest Common Factor of 1194,6928 is 2
Step 1: Since 6928 > 1194, we apply the division lemma to 6928 and 1194, to get
6928 = 1194 x 5 + 958
Step 2: Since the reminder 1194 ≠ 0, we apply division lemma to 958 and 1194, to get
1194 = 958 x 1 + 236
Step 3: We consider the new divisor 958 and the new remainder 236, and apply the division lemma to get
958 = 236 x 4 + 14
We consider the new divisor 236 and the new remainder 14,and apply the division lemma to get
236 = 14 x 16 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1194 and 6928 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(236,14) = HCF(958,236) = HCF(1194,958) = HCF(6928,1194) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1194, 6928 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 1194, 6928?
Answer: HCF of 1194, 6928 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1194, 6928 using Euclid's Algorithm?
Answer: For arbitrary numbers 1194, 6928 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.