Highest Common Factor of 980, 363, 782 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, 363, 782 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 980, 363, 782 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, 363, 782 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, 363, 782 is 1.
HCF(980, 363, 782) = 1
HCF of 980, 363, 782 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, 363, 782 is 1.
Highest Common Factor of 980,363,782 is 1
Step 1: Since 980 > 363, we apply the division lemma to 980 and 363, to get
980 = 363 x 2 + 254
Step 2: Since the reminder 363 ≠ 0, we apply division lemma to 254 and 363, to get
363 = 254 x 1 + 109
Step 3: We consider the new divisor 254 and the new remainder 109, and apply the division lemma to get
254 = 109 x 2 + 36
We consider the new divisor 109 and the new remainder 36,and apply the division lemma to get
109 = 36 x 3 + 1
We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 980 and 363 is 1
Notice that 1 = HCF(36,1) = HCF(109,36) = HCF(254,109) = HCF(363,254) = HCF(980,363) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 782 > 1, we apply the division lemma to 782 and 1, to get
782 = 1 x 782 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 782 is 1
Notice that 1 = HCF(782,1) .
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, 363, 782 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, 363, 782?
Answer: HCF of 980, 363, 782 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 980, 363, 782 using Euclid's Algorithm?
Answer: For arbitrary numbers 980, 363, 782 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
