Highest Common Factor of 7950, 3558 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 7950, 3558 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 7950, 3558 is 6 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 7950, 3558 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 7950, 3558 is 6.
HCF(7950, 3558) = 6
HCF of 7950, 3558 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7950, 3558 is 6.
Highest Common Factor of 7950,3558 is 6
Step 1: Since 7950 > 3558, we apply the division lemma to 7950 and 3558, to get
7950 = 3558 x 2 + 834
Step 2: Since the reminder 3558 ≠ 0, we apply division lemma to 834 and 3558, to get
3558 = 834 x 4 + 222
Step 3: We consider the new divisor 834 and the new remainder 222, and apply the division lemma to get
834 = 222 x 3 + 168
We consider the new divisor 222 and the new remainder 168,and apply the division lemma to get
222 = 168 x 1 + 54
We consider the new divisor 168 and the new remainder 54,and apply the division lemma to get
168 = 54 x 3 + 6
We consider the new divisor 54 and the new remainder 6,and apply the division lemma to get
54 = 6 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 7950 and 3558 is 6
Notice that 6 = HCF(54,6) = HCF(168,54) = HCF(222,168) = HCF(834,222) = HCF(3558,834) = HCF(7950,3558) .
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Frequently Asked Questions on HCF of 7950, 3558 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 7950, 3558?
Answer: HCF of 7950, 3558 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7950, 3558 using Euclid's Algorithm?
Answer: For arbitrary numbers 7950, 3558 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
