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 240, 616 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 240, 616 is 8 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 240, 616 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 240, 616 is 8.
HCF(240, 616) = 8
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 240, 616 is 8.
Step 1: Since 616 > 240, we apply the division lemma to 616 and 240, to get
616 = 240 x 2 + 136
Step 2: Since the reminder 240 ≠ 0, we apply division lemma to 136 and 240, to get
240 = 136 x 1 + 104
Step 3: We consider the new divisor 136 and the new remainder 104, and apply the division lemma to get
136 = 104 x 1 + 32
We consider the new divisor 104 and the new remainder 32,and apply the division lemma to get
104 = 32 x 3 + 8
We consider the new divisor 32 and the new remainder 8,and apply the division lemma to get
32 = 8 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 240 and 616 is 8
Notice that 8 = HCF(32,8) = HCF(104,32) = HCF(136,104) = HCF(240,136) = HCF(616,240) .
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 240, 616?
Answer: HCF of 240, 616 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 240, 616 using Euclid's Algorithm?
Answer: For arbitrary numbers 240, 616 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.