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 740, 200 i.e. 20 the largest integer that leaves a remainder zero for all numbers.
HCF of 740, 200 is 20 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 740, 200 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 740, 200 is 20.
HCF(740, 200) = 20
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 740, 200 is 20.
Step 1: Since 740 > 200, we apply the division lemma to 740 and 200, to get
740 = 200 x 3 + 140
Step 2: Since the reminder 200 ≠ 0, we apply division lemma to 140 and 200, to get
200 = 140 x 1 + 60
Step 3: We consider the new divisor 140 and the new remainder 60, and apply the division lemma to get
140 = 60 x 2 + 20
We consider the new divisor 60 and the new remainder 20, and apply the division lemma to get
60 = 20 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 20, the HCF of 740 and 200 is 20
Notice that 20 = HCF(60,20) = HCF(140,60) = HCF(200,140) = HCF(740,200) .
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 740, 200?
Answer: HCF of 740, 200 is 20 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 740, 200 using Euclid's Algorithm?
Answer: For arbitrary numbers 740, 200 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.