Highest Common Factor of 247, 840, 174 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 247, 840, 174 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 247, 840, 174 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 247, 840, 174 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 247, 840, 174 is 1.
HCF(247, 840, 174) = 1
HCF of 247, 840, 174 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 247, 840, 174 is 1.
Highest Common Factor of 247,840,174 is 1
Step 1: Since 840 > 247, we apply the division lemma to 840 and 247, to get
840 = 247 x 3 + 99
Step 2: Since the reminder 247 ≠ 0, we apply division lemma to 99 and 247, to get
247 = 99 x 2 + 49
Step 3: We consider the new divisor 99 and the new remainder 49, and apply the division lemma to get
99 = 49 x 2 + 1
We consider the new divisor 49 and the new remainder 1, and apply the division lemma to get
49 = 1 x 49 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 247 and 840 is 1
Notice that 1 = HCF(49,1) = HCF(99,49) = HCF(247,99) = HCF(840,247) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 174 > 1, we apply the division lemma to 174 and 1, to get
174 = 1 x 174 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 174 is 1
Notice that 1 = HCF(174,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 247, 840, 174 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 247, 840, 174?
Answer: HCF of 247, 840, 174 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 247, 840, 174 using Euclid's Algorithm?
Answer: For arbitrary numbers 247, 840, 174 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
