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 920, 44076 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 920, 44076 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 920, 44076 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 920, 44076 is 4.
HCF(920, 44076) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 920, 44076 is 4.
Step 1: Since 44076 > 920, we apply the division lemma to 44076 and 920, to get
44076 = 920 x 47 + 836
Step 2: Since the reminder 920 ≠ 0, we apply division lemma to 836 and 920, to get
920 = 836 x 1 + 84
Step 3: We consider the new divisor 836 and the new remainder 84, and apply the division lemma to get
836 = 84 x 9 + 80
We consider the new divisor 84 and the new remainder 80,and apply the division lemma to get
84 = 80 x 1 + 4
We consider the new divisor 80 and the new remainder 4,and apply the division lemma to get
80 = 4 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 920 and 44076 is 4
Notice that 4 = HCF(80,4) = HCF(84,80) = HCF(836,84) = HCF(920,836) = HCF(44076,920) .
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 920, 44076?
Answer: HCF of 920, 44076 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 920, 44076 using Euclid's Algorithm?
Answer: For arbitrary numbers 920, 44076 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.