Highest Common Factor of 947, 3620, 4960 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 947, 3620, 4960 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 947, 3620, 4960 is 1 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 947, 3620, 4960 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 947, 3620, 4960 is 1.
HCF(947, 3620, 4960) = 1
HCF of 947, 3620, 4960 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 947, 3620, 4960 is 1.
Highest Common Factor of 947,3620,4960 is 1
Step 1: Since 3620 > 947, we apply the division lemma to 3620 and 947, to get
3620 = 947 x 3 + 779
Step 2: Since the reminder 947 ≠ 0, we apply division lemma to 779 and 947, to get
947 = 779 x 1 + 168
Step 3: We consider the new divisor 779 and the new remainder 168, and apply the division lemma to get
779 = 168 x 4 + 107
We consider the new divisor 168 and the new remainder 107,and apply the division lemma to get
168 = 107 x 1 + 61
We consider the new divisor 107 and the new remainder 61,and apply the division lemma to get
107 = 61 x 1 + 46
We consider the new divisor 61 and the new remainder 46,and apply the division lemma to get
61 = 46 x 1 + 15
We consider the new divisor 46 and the new remainder 15,and apply the division lemma to get
46 = 15 x 3 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 947 and 3620 is 1
Notice that 1 = HCF(15,1) = HCF(46,15) = HCF(61,46) = HCF(107,61) = HCF(168,107) = HCF(779,168) = HCF(947,779) = HCF(3620,947) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4960 > 1, we apply the division lemma to 4960 and 1, to get
4960 = 1 x 4960 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4960 is 1
Notice that 1 = HCF(4960,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 947, 3620, 4960 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 947, 3620, 4960?
Answer: HCF of 947, 3620, 4960 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 947, 3620, 4960 using Euclid's Algorithm?
Answer: For arbitrary numbers 947, 3620, 4960 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.