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 568, 988 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 568, 988 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 568, 988 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 568, 988 is 4.
HCF(568, 988) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 568, 988 is 4.
Step 1: Since 988 > 568, we apply the division lemma to 988 and 568, to get
988 = 568 x 1 + 420
Step 2: Since the reminder 568 ≠ 0, we apply division lemma to 420 and 568, to get
568 = 420 x 1 + 148
Step 3: We consider the new divisor 420 and the new remainder 148, and apply the division lemma to get
420 = 148 x 2 + 124
We consider the new divisor 148 and the new remainder 124,and apply the division lemma to get
148 = 124 x 1 + 24
We consider the new divisor 124 and the new remainder 24,and apply the division lemma to get
124 = 24 x 5 + 4
We consider the new divisor 24 and the new remainder 4,and apply the division lemma to get
24 = 4 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 568 and 988 is 4
Notice that 4 = HCF(24,4) = HCF(124,24) = HCF(148,124) = HCF(420,148) = HCF(568,420) = HCF(988,568) .
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 568, 988?
Answer: HCF of 568, 988 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 568, 988 using Euclid's Algorithm?
Answer: For arbitrary numbers 568, 988 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.