Highest Common Factor of 3088, 4250 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 3088, 4250 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3088, 4250 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 3088, 4250 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 3088, 4250 is 2.
HCF(3088, 4250) = 2
HCF of 3088, 4250 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3088, 4250 is 2.
Highest Common Factor of 3088,4250 is 2
Step 1: Since 4250 > 3088, we apply the division lemma to 4250 and 3088, to get
4250 = 3088 x 1 + 1162
Step 2: Since the reminder 3088 ≠ 0, we apply division lemma to 1162 and 3088, to get
3088 = 1162 x 2 + 764
Step 3: We consider the new divisor 1162 and the new remainder 764, and apply the division lemma to get
1162 = 764 x 1 + 398
We consider the new divisor 764 and the new remainder 398,and apply the division lemma to get
764 = 398 x 1 + 366
We consider the new divisor 398 and the new remainder 366,and apply the division lemma to get
398 = 366 x 1 + 32
We consider the new divisor 366 and the new remainder 32,and apply the division lemma to get
366 = 32 x 11 + 14
We consider the new divisor 32 and the new remainder 14,and apply the division lemma to get
32 = 14 x 2 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3088 and 4250 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(32,14) = HCF(366,32) = HCF(398,366) = HCF(764,398) = HCF(1162,764) = HCF(3088,1162) = HCF(4250,3088) .
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Frequently Asked Questions on HCF of 3088, 4250 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 3088, 4250?
Answer: HCF of 3088, 4250 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3088, 4250 using Euclid's Algorithm?
Answer: For arbitrary numbers 3088, 4250 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.