Highest Common Factor of 556, 354, 254 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 556, 354, 254 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 556, 354, 254 is 2 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 556, 354, 254 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 556, 354, 254 is 2.
HCF(556, 354, 254) = 2
HCF of 556, 354, 254 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 556, 354, 254 is 2.
Highest Common Factor of 556,354,254 is 2
Step 1: Since 556 > 354, we apply the division lemma to 556 and 354, to get
556 = 354 x 1 + 202
Step 2: Since the reminder 354 ≠ 0, we apply division lemma to 202 and 354, to get
354 = 202 x 1 + 152
Step 3: We consider the new divisor 202 and the new remainder 152, and apply the division lemma to get
202 = 152 x 1 + 50
We consider the new divisor 152 and the new remainder 50,and apply the division lemma to get
152 = 50 x 3 + 2
We consider the new divisor 50 and the new remainder 2,and apply the division lemma to get
50 = 2 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 556 and 354 is 2
Notice that 2 = HCF(50,2) = HCF(152,50) = HCF(202,152) = HCF(354,202) = HCF(556,354) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 254 > 2, we apply the division lemma to 254 and 2, to get
254 = 2 x 127 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 254 is 2
Notice that 2 = HCF(254,2) .
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Frequently Asked Questions on HCF of 556, 354, 254 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 556, 354, 254?
Answer: HCF of 556, 354, 254 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 556, 354, 254 using Euclid's Algorithm?
Answer: For arbitrary numbers 556, 354, 254 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
