Highest Common Factor of 902, 253 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 902, 253 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 902, 253 is 11 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 902, 253 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 902, 253 is 11.
HCF(902, 253) = 11
HCF of 902, 253 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 902, 253 is 11.
Highest Common Factor of 902,253 is 11
Step 1: Since 902 > 253, we apply the division lemma to 902 and 253, to get
902 = 253 x 3 + 143
Step 2: Since the reminder 253 ≠ 0, we apply division lemma to 143 and 253, to get
253 = 143 x 1 + 110
Step 3: We consider the new divisor 143 and the new remainder 110, and apply the division lemma to get
143 = 110 x 1 + 33
We consider the new divisor 110 and the new remainder 33,and apply the division lemma to get
110 = 33 x 3 + 11
We consider the new divisor 33 and the new remainder 11,and apply the division lemma to get
33 = 11 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 902 and 253 is 11
Notice that 11 = HCF(33,11) = HCF(110,33) = HCF(143,110) = HCF(253,143) = HCF(902,253) .
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Frequently Asked Questions on HCF of 902, 253 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 902, 253?
Answer: HCF of 902, 253 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 902, 253 using Euclid's Algorithm?
Answer: For arbitrary numbers 902, 253 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
