Highest Common Factor of 328, 140 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 328, 140 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 328, 140 is 4 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 328, 140 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 328, 140 is 4.
HCF(328, 140) = 4
HCF of 328, 140 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 328, 140 is 4.
Highest Common Factor of 328,140 is 4
Step 1: Since 328 > 140, we apply the division lemma to 328 and 140, to get
328 = 140 x 2 + 48
Step 2: Since the reminder 140 ≠ 0, we apply division lemma to 48 and 140, to get
140 = 48 x 2 + 44
Step 3: We consider the new divisor 48 and the new remainder 44, and apply the division lemma to get
48 = 44 x 1 + 4
We consider the new divisor 44 and the new remainder 4, and apply the division lemma to get
44 = 4 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 328 and 140 is 4
Notice that 4 = HCF(44,4) = HCF(48,44) = HCF(140,48) = HCF(328,140) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 328, 140 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 328, 140?
Answer: HCF of 328, 140 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 328, 140 using Euclid's Algorithm?
Answer: For arbitrary numbers 328, 140 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.