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 794, 308 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 794, 308 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 794, 308 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 794, 308 is 2.
HCF(794, 308) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 794, 308 is 2.
Step 1: Since 794 > 308, we apply the division lemma to 794 and 308, to get
794 = 308 x 2 + 178
Step 2: Since the reminder 308 ≠ 0, we apply division lemma to 178 and 308, to get
308 = 178 x 1 + 130
Step 3: We consider the new divisor 178 and the new remainder 130, and apply the division lemma to get
178 = 130 x 1 + 48
We consider the new divisor 130 and the new remainder 48,and apply the division lemma to get
130 = 48 x 2 + 34
We consider the new divisor 48 and the new remainder 34,and apply the division lemma to get
48 = 34 x 1 + 14
We consider the new divisor 34 and the new remainder 14,and apply the division lemma to get
34 = 14 x 2 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 794 and 308 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(34,14) = HCF(48,34) = HCF(130,48) = HCF(178,130) = HCF(308,178) = HCF(794,308) .
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 794, 308?
Answer: HCF of 794, 308 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 794, 308 using Euclid's Algorithm?
Answer: For arbitrary numbers 794, 308 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.