Highest Common Factor of 2905, 4900 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 2905, 4900 i.e. 35 the largest integer that leaves a remainder zero for all numbers.
HCF of 2905, 4900 is 35 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 2905, 4900 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 2905, 4900 is 35.
HCF(2905, 4900) = 35
HCF of 2905, 4900 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2905, 4900 is 35.
Highest Common Factor of 2905,4900 is 35
Step 1: Since 4900 > 2905, we apply the division lemma to 4900 and 2905, to get
4900 = 2905 x 1 + 1995
Step 2: Since the reminder 2905 ≠ 0, we apply division lemma to 1995 and 2905, to get
2905 = 1995 x 1 + 910
Step 3: We consider the new divisor 1995 and the new remainder 910, and apply the division lemma to get
1995 = 910 x 2 + 175
We consider the new divisor 910 and the new remainder 175,and apply the division lemma to get
910 = 175 x 5 + 35
We consider the new divisor 175 and the new remainder 35,and apply the division lemma to get
175 = 35 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 35, the HCF of 2905 and 4900 is 35
Notice that 35 = HCF(175,35) = HCF(910,175) = HCF(1995,910) = HCF(2905,1995) = HCF(4900,2905) .
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Frequently Asked Questions on HCF of 2905, 4900 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 2905, 4900?
Answer: HCF of 2905, 4900 is 35 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2905, 4900 using Euclid's Algorithm?
Answer: For arbitrary numbers 2905, 4900 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.