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 780, 988, 494 i.e. 26 the largest integer that leaves a remainder zero for all numbers.
HCF of 780, 988, 494 is 26 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 780, 988, 494 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 780, 988, 494 is 26.
HCF(780, 988, 494) = 26
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 780, 988, 494 is 26.
Step 1: Since 988 > 780, we apply the division lemma to 988 and 780, to get
988 = 780 x 1 + 208
Step 2: Since the reminder 780 ≠ 0, we apply division lemma to 208 and 780, to get
780 = 208 x 3 + 156
Step 3: We consider the new divisor 208 and the new remainder 156, and apply the division lemma to get
208 = 156 x 1 + 52
We consider the new divisor 156 and the new remainder 52, and apply the division lemma to get
156 = 52 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 52, the HCF of 780 and 988 is 52
Notice that 52 = HCF(156,52) = HCF(208,156) = HCF(780,208) = HCF(988,780) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 494 > 52, we apply the division lemma to 494 and 52, to get
494 = 52 x 9 + 26
Step 2: Since the reminder 52 ≠ 0, we apply division lemma to 26 and 52, to get
52 = 26 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 52 and 494 is 26
Notice that 26 = HCF(52,26) = HCF(494,52) .
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 780, 988, 494?
Answer: HCF of 780, 988, 494 is 26 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 780, 988, 494 using Euclid's Algorithm?
Answer: For arbitrary numbers 780, 988, 494 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.