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 306, 154 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 306, 154 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 306, 154 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 306, 154 is 2.
HCF(306, 154) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 306, 154 is 2.
Step 1: Since 306 > 154, we apply the division lemma to 306 and 154, to get
306 = 154 x 1 + 152
Step 2: Since the reminder 154 ≠ 0, we apply division lemma to 152 and 154, to get
154 = 152 x 1 + 2
Step 3: We consider the new divisor 152 and the new remainder 2, and apply the division lemma to get
152 = 2 x 76 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 306 and 154 is 2
Notice that 2 = HCF(152,2) = HCF(154,152) = HCF(306,154) .
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 306, 154?
Answer: HCF of 306, 154 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 306, 154 using Euclid's Algorithm?
Answer: For arbitrary numbers 306, 154 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.