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 954, 4994 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 954, 4994 is 2 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 954, 4994 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 954, 4994 is 2.
HCF(954, 4994) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 954, 4994 is 2.
Step 1: Since 4994 > 954, we apply the division lemma to 4994 and 954, to get
4994 = 954 x 5 + 224
Step 2: Since the reminder 954 ≠ 0, we apply division lemma to 224 and 954, to get
954 = 224 x 4 + 58
Step 3: We consider the new divisor 224 and the new remainder 58, and apply the division lemma to get
224 = 58 x 3 + 50
We consider the new divisor 58 and the new remainder 50,and apply the division lemma to get
58 = 50 x 1 + 8
We consider the new divisor 50 and the new remainder 8,and apply the division lemma to get
50 = 8 x 6 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 954 and 4994 is 2
Notice that 2 = HCF(8,2) = HCF(50,8) = HCF(58,50) = HCF(224,58) = HCF(954,224) = HCF(4994,954) .
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 954, 4994?
Answer: HCF of 954, 4994 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 954, 4994 using Euclid's Algorithm?
Answer: For arbitrary numbers 954, 4994 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.