Highest Common Factor of 7880, 3234 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 7880, 3234 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7880, 3234 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 7880, 3234 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 7880, 3234 is 2.
HCF(7880, 3234) = 2
HCF of 7880, 3234 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7880, 3234 is 2.
Highest Common Factor of 7880,3234 is 2
Step 1: Since 7880 > 3234, we apply the division lemma to 7880 and 3234, to get
7880 = 3234 x 2 + 1412
Step 2: Since the reminder 3234 ≠ 0, we apply division lemma to 1412 and 3234, to get
3234 = 1412 x 2 + 410
Step 3: We consider the new divisor 1412 and the new remainder 410, and apply the division lemma to get
1412 = 410 x 3 + 182
We consider the new divisor 410 and the new remainder 182,and apply the division lemma to get
410 = 182 x 2 + 46
We consider the new divisor 182 and the new remainder 46,and apply the division lemma to get
182 = 46 x 3 + 44
We consider the new divisor 46 and the new remainder 44,and apply the division lemma to get
46 = 44 x 1 + 2
We consider the new divisor 44 and the new remainder 2,and apply the division lemma to get
44 = 2 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7880 and 3234 is 2
Notice that 2 = HCF(44,2) = HCF(46,44) = HCF(182,46) = HCF(410,182) = HCF(1412,410) = HCF(3234,1412) = HCF(7880,3234) .
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Frequently Asked Questions on HCF of 7880, 3234 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 7880, 3234?
Answer: HCF of 7880, 3234 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7880, 3234 using Euclid's Algorithm?
Answer: For arbitrary numbers 7880, 3234 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.