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, 994 i.e. 142 the largest integer that leaves a remainder zero for all numbers.
HCF of 568, 994 is 142 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, 994 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, 994 is 142.
HCF(568, 994) = 142
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 568, 994 is 142.
Step 1: Since 994 > 568, we apply the division lemma to 994 and 568, to get
994 = 568 x 1 + 426
Step 2: Since the reminder 568 ≠ 0, we apply division lemma to 426 and 568, to get
568 = 426 x 1 + 142
Step 3: We consider the new divisor 426 and the new remainder 142, and apply the division lemma to get
426 = 142 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 142, the HCF of 568 and 994 is 142
Notice that 142 = HCF(426,142) = HCF(568,426) = HCF(994,568) .
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, 994?
Answer: HCF of 568, 994 is 142 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 568, 994 using Euclid's Algorithm?
Answer: For arbitrary numbers 568, 994 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.