Highest Common Factor of 7504, 2098 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 7504, 2098 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7504, 2098 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 7504, 2098 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 7504, 2098 is 2.
HCF(7504, 2098) = 2
HCF of 7504, 2098 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7504, 2098 is 2.
Highest Common Factor of 7504,2098 is 2
Step 1: Since 7504 > 2098, we apply the division lemma to 7504 and 2098, to get
7504 = 2098 x 3 + 1210
Step 2: Since the reminder 2098 ≠ 0, we apply division lemma to 1210 and 2098, to get
2098 = 1210 x 1 + 888
Step 3: We consider the new divisor 1210 and the new remainder 888, and apply the division lemma to get
1210 = 888 x 1 + 322
We consider the new divisor 888 and the new remainder 322,and apply the division lemma to get
888 = 322 x 2 + 244
We consider the new divisor 322 and the new remainder 244,and apply the division lemma to get
322 = 244 x 1 + 78
We consider the new divisor 244 and the new remainder 78,and apply the division lemma to get
244 = 78 x 3 + 10
We consider the new divisor 78 and the new remainder 10,and apply the division lemma to get
78 = 10 x 7 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7504 and 2098 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(78,10) = HCF(244,78) = HCF(322,244) = HCF(888,322) = HCF(1210,888) = HCF(2098,1210) = HCF(7504,2098) .
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Frequently Asked Questions on HCF of 7504, 2098 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 7504, 2098?
Answer: HCF of 7504, 2098 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7504, 2098 using Euclid's Algorithm?
Answer: For arbitrary numbers 7504, 2098 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.