Highest Common Factor of 980, 746, 865, 216 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 980, 746, 865, 216 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 980, 746, 865, 216 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 980, 746, 865, 216 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 980, 746, 865, 216 is 1.
HCF(980, 746, 865, 216) = 1
HCF of 980, 746, 865, 216 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 980, 746, 865, 216 is 1.
Highest Common Factor of 980,746,865,216 is 1
Step 1: Since 980 > 746, we apply the division lemma to 980 and 746, to get
980 = 746 x 1 + 234
Step 2: Since the reminder 746 ≠ 0, we apply division lemma to 234 and 746, to get
746 = 234 x 3 + 44
Step 3: We consider the new divisor 234 and the new remainder 44, and apply the division lemma to get
234 = 44 x 5 + 14
We consider the new divisor 44 and the new remainder 14,and apply the division lemma to get
44 = 14 x 3 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 980 and 746 is 2
Notice that 2 = HCF(14,2) = HCF(44,14) = HCF(234,44) = HCF(746,234) = HCF(980,746) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 865 > 2, we apply the division lemma to 865 and 2, to get
865 = 2 x 432 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 865 is 1
Notice that 1 = HCF(2,1) = HCF(865,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 216 > 1, we apply the division lemma to 216 and 1, to get
216 = 1 x 216 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 216 is 1
Notice that 1 = HCF(216,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 980, 746, 865, 216 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 980, 746, 865, 216?
Answer: HCF of 980, 746, 865, 216 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 980, 746, 865, 216 using Euclid's Algorithm?
Answer: For arbitrary numbers 980, 746, 865, 216 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.