Highest Common Factor of 550, 2530 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 550, 2530 i.e. 110 the largest integer that leaves a remainder zero for all numbers.
HCF of 550, 2530 is 110 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 550, 2530 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 550, 2530 is 110.
HCF(550, 2530) = 110
HCF of 550, 2530 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 550, 2530 is 110.
Highest Common Factor of 550,2530 is 110
Step 1: Since 2530 > 550, we apply the division lemma to 2530 and 550, to get
2530 = 550 x 4 + 330
Step 2: Since the reminder 550 ≠ 0, we apply division lemma to 330 and 550, to get
550 = 330 x 1 + 220
Step 3: We consider the new divisor 330 and the new remainder 220, and apply the division lemma to get
330 = 220 x 1 + 110
We consider the new divisor 220 and the new remainder 110, and apply the division lemma to get
220 = 110 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 110, the HCF of 550 and 2530 is 110
Notice that 110 = HCF(220,110) = HCF(330,220) = HCF(550,330) = HCF(2530,550) .
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Frequently Asked Questions on HCF of 550, 2530 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 550, 2530?
Answer: HCF of 550, 2530 is 110 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 550, 2530 using Euclid's Algorithm?
Answer: For arbitrary numbers 550, 2530 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.