Highest Common Factor of 920, 4716, 7144 using Euclid's algorithm
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, 4716, 7144 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 920, 4716, 7144 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, 4716, 7144 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, 4716, 7144 is 4.
HCF(920, 4716, 7144) = 4
HCF of 920, 4716, 7144 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 920, 4716, 7144 is 4.
Highest Common Factor of 920,4716,7144 is 4
Step 1: Since 4716 > 920, we apply the division lemma to 4716 and 920, to get
4716 = 920 x 5 + 116
Step 2: Since the reminder 920 ≠ 0, we apply division lemma to 116 and 920, to get
920 = 116 x 7 + 108
Step 3: We consider the new divisor 116 and the new remainder 108, and apply the division lemma to get
116 = 108 x 1 + 8
We consider the new divisor 108 and the new remainder 8,and apply the division lemma to get
108 = 8 x 13 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 920 and 4716 is 4
Notice that 4 = HCF(8,4) = HCF(108,8) = HCF(116,108) = HCF(920,116) = HCF(4716,920) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7144 > 4, we apply the division lemma to 7144 and 4, to get
7144 = 4 x 1786 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 7144 is 4
Notice that 4 = HCF(7144,4) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 920, 4716, 7144 using Euclid's Algorithm
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, 4716, 7144?
Answer: HCF of 920, 4716, 7144 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 920, 4716, 7144 using Euclid's Algorithm?
Answer: For arbitrary numbers 920, 4716, 7144 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
