Highest Common Factor of 787, 619, 974, 276 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 787, 619, 974, 276 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 787, 619, 974, 276 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 787, 619, 974, 276 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 787, 619, 974, 276 is 1.
HCF(787, 619, 974, 276) = 1
HCF of 787, 619, 974, 276 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 787, 619, 974, 276 is 1.
Highest Common Factor of 787,619,974,276 is 1
Step 1: Since 787 > 619, we apply the division lemma to 787 and 619, to get
787 = 619 x 1 + 168
Step 2: Since the reminder 619 ≠ 0, we apply division lemma to 168 and 619, to get
619 = 168 x 3 + 115
Step 3: We consider the new divisor 168 and the new remainder 115, and apply the division lemma to get
168 = 115 x 1 + 53
We consider the new divisor 115 and the new remainder 53,and apply the division lemma to get
115 = 53 x 2 + 9
We consider the new divisor 53 and the new remainder 9,and apply the division lemma to get
53 = 9 x 5 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 787 and 619 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(53,9) = HCF(115,53) = HCF(168,115) = HCF(619,168) = HCF(787,619) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 974 > 1, we apply the division lemma to 974 and 1, to get
974 = 1 x 974 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 974 is 1
Notice that 1 = HCF(974,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 276 > 1, we apply the division lemma to 276 and 1, to get
276 = 1 x 276 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 276 is 1
Notice that 1 = HCF(276,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 787, 619, 974, 276 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 787, 619, 974, 276?
Answer: HCF of 787, 619, 974, 276 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 787, 619, 974, 276 using Euclid's Algorithm?
Answer: For arbitrary numbers 787, 619, 974, 276 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.