Highest Common Factor of 779, 252, 421, 47 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 779, 252, 421, 47 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 779, 252, 421, 47 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 779, 252, 421, 47 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 779, 252, 421, 47 is 1.
HCF(779, 252, 421, 47) = 1
HCF of 779, 252, 421, 47 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 779, 252, 421, 47 is 1.
Highest Common Factor of 779,252,421,47 is 1
Step 1: Since 779 > 252, we apply the division lemma to 779 and 252, to get
779 = 252 x 3 + 23
Step 2: Since the reminder 252 ≠ 0, we apply division lemma to 23 and 252, to get
252 = 23 x 10 + 22
Step 3: We consider the new divisor 23 and the new remainder 22, and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1, and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 779 and 252 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(252,23) = HCF(779,252) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 421 > 1, we apply the division lemma to 421 and 1, to get
421 = 1 x 421 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 421 is 1
Notice that 1 = HCF(421,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 47 > 1, we apply the division lemma to 47 and 1, to get
47 = 1 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 47 is 1
Notice that 1 = HCF(47,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 779, 252, 421, 47 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 779, 252, 421, 47?
Answer: HCF of 779, 252, 421, 47 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 779, 252, 421, 47 using Euclid's Algorithm?
Answer: For arbitrary numbers 779, 252, 421, 47 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.