Highest Common Factor of 5254, 3256 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 5254, 3256 i.e. 74 the largest integer that leaves a remainder zero for all numbers.
HCF of 5254, 3256 is 74 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 5254, 3256 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 5254, 3256 is 74.
HCF(5254, 3256) = 74
HCF of 5254, 3256 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5254, 3256 is 74.
Highest Common Factor of 5254,3256 is 74
Step 1: Since 5254 > 3256, we apply the division lemma to 5254 and 3256, to get
5254 = 3256 x 1 + 1998
Step 2: Since the reminder 3256 ≠ 0, we apply division lemma to 1998 and 3256, to get
3256 = 1998 x 1 + 1258
Step 3: We consider the new divisor 1998 and the new remainder 1258, and apply the division lemma to get
1998 = 1258 x 1 + 740
We consider the new divisor 1258 and the new remainder 740,and apply the division lemma to get
1258 = 740 x 1 + 518
We consider the new divisor 740 and the new remainder 518,and apply the division lemma to get
740 = 518 x 1 + 222
We consider the new divisor 518 and the new remainder 222,and apply the division lemma to get
518 = 222 x 2 + 74
We consider the new divisor 222 and the new remainder 74,and apply the division lemma to get
222 = 74 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 74, the HCF of 5254 and 3256 is 74
Notice that 74 = HCF(222,74) = HCF(518,222) = HCF(740,518) = HCF(1258,740) = HCF(1998,1258) = HCF(3256,1998) = HCF(5254,3256) .
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Frequently Asked Questions on HCF of 5254, 3256 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 5254, 3256?
Answer: HCF of 5254, 3256 is 74 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5254, 3256 using Euclid's Algorithm?
Answer: For arbitrary numbers 5254, 3256 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.